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223115130252404 = 2213217251163747251
BaseRepresentation
bin110010101110110000001010…
…000101010010110001110100
31002020222121011001020122022122
4302232300022011102301310
5213221004241321034104
62110305401552015112
764665351630523205
oct6256601205226164
91066877131218278
10223115130252404
1165100660478795
1221035259831498
139765888404900
143d14b894475ac
151abdb0ad466be
hexcaec0a152c74

223115130252404 has 144 divisors (see below), whose sum is σ = 449734566206016. Its totient is φ = 96471648000000.

The previous prime is 223115130252379. The next prime is 223115130252407. The reversal of 223115130252404 is 404252031511322.

It is a super-3 number, since 3×2231151302524043 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223115130252407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4721889779 + ... + 4721937029.

It is an arithmetic number, because the mean of its divisors is an integer number (3123156709764).

Almost surely, 2223115130252404 is an apocalyptic number.

It is an amenable number.

223115130252404 is an abundant number, since it is smaller than the sum of its proper divisors (226619435953612).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

223115130252404 is a wasteful number, since it uses less digits than its factorization.

223115130252404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49186 (or 49171 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

Adding to 223115130252404 its reverse (404252031511322), we get a palindrome (627367161763726).

The spelling of 223115130252404 in words is "two hundred twenty-three trillion, one hundred fifteen billion, one hundred thirty million, two hundred fifty-two thousand, four hundred four".

Divisors: 1 2 4 13 17 26 34 52 68 169 221 251 338 442 502 676 884 1004 1637 2873 3263 3274 4267 5746 6526 6548 8534 11492 13052 17068 21281 27829 42419 42562 47251 55471 55658 84838 85124 94502 110942 111316 169676 189004 221884 276653 361777 410887 553306 614263 721123 723554 803267 821774 1106612 1228526 1442246 1447108 1606534 1643548 2457052 2884492 3213068 4703101 5341531 6985079 7985419 9406202 10442471 10683062 11860001 13970158 15970838 18812404 20884942 21366124 23720002 27940316 31941676 41769884 47440004 69439903 77349887 90806027 135752123 138879806 154180013 154699774 181612054 201620017 271504246 277759612 308360026 309399548 363224108 403240034 543008492 616720052 806480068 1005548531 1180478351 1314948079 2004340169 2011097062 2360956702 2621060221 2629896158 4008680338 4022194124 4721913404 5242120442 5259792316 8017360676 10484240884 13072130903 17094325027 19414821637 26144261806 34073782873 34188650054 38829643274 52288523612 68147565746 68377300108 77659286548 136295131492 222226225351 252392681281 330051967829 444452450702 504785362562 660103935658 888904901404 1009570725124 1320207871316 3281104856653 4290675581777 6562209713306 8581351163554 13124419426612 17162702327108 55778782563101 111557565126202 223115130252404