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1223394240 = 26351578117
BaseRepresentation
bin100100011101011…
…1000001111000000
310011021000212101210
41020322320033000
510001142103430
6321221330120
742213452025
oct11072701700
93137025353
101223394240
11578635222
122a1866940
131665c5823
14b869d54c
157260c2b0
hex48eb83c0

1223394240 has 112 divisors (see below), whose sum is σ = 3909498912. Its totient is φ = 324120576.

The previous prime is 1223394229. The next prime is 1223394269. The reversal of 1223394240 is 424933221.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1223394198 and 1223394207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146662 + ... + 154778.

Almost surely, 21223394240 is an apocalyptic number.

1223394240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1223394240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1954749456).

1223394240 is an abundant number, since it is smaller than the sum of its proper divisors (2686104672).

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

1223394240 is a wasteful number, since it uses less digits than its factorization.

1223394240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8294 (or 8284 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 1223394240 is about 34977.0530491064. The cubic root of 1223394240 is about 1069.5197542054.

The spelling of 1223394240 in words is "one billion, two hundred twenty-three million, three hundred ninety-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 157 160 192 240 314 320 471 480 628 785 942 960 1256 1570 1884 2355 2512 3140 3768 4710 5024 6280 7536 8117 9420 10048 12560 15072 16234 18840 24351 25120 30144 32468 37680 40585 48702 50240 64936 75360 81170 97404 121755 129872 150720 162340 194808 243510 259744 324680 389616 487020 519488 649360 779232 974040 1274369 1298720 1558464 1948080 2548738 2597440 3823107 3896160 5097476 6371845 7646214 7792320 10194952 12743690 15292428 19115535 20389904 25487380 30584856 38231070 40779808 50974760 61169712 76462140 81559616 101949520 122339424 152924280 203899040 244678848 305848560 407798080 611697120 1223394240