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226011720 = 233511473643
BaseRepresentation
bin11010111100010…
…10101001001000
3120202021120210110
431132022221020
5430324333340
634232114320
75413032204
oct1536125110
9522246713
10226011720
11106639a50
12638359a0
1337a93b5c
1422033b04
1514c96680
hexd78aa48

226011720 has 128 divisors (see below), whose sum is σ = 755619840. Its totient is φ = 53610240.

The previous prime is 226011701. The next prime is 226011727. The reversal of 226011720 is 27110622.

226011720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (226011727) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 60219 + ... + 63861.

It is an arithmetic number, because the mean of its divisors is an integer number (5903280).

Almost surely, 2226011720 is an apocalyptic number.

226011720 is a gapful number since it is divisible by the number (20) 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 226011720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377809920).

226011720 is an abundant number, since it is smaller than the sum of its proper divisors (529608120).

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

226011720 is a wasteful number, since it uses less digits than its factorization.

226011720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3715 (or 3711 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 226011720 is about 15033.6861747211. The cubic root of 226011720 is about 609.1304640398.

The spelling of 226011720 in words is "two hundred twenty-six million, eleven thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 47 55 60 66 88 94 110 120 132 141 165 188 220 235 264 282 330 376 440 470 517 564 660 705 940 1034 1128 1320 1410 1551 1880 2068 2585 2820 3102 3643 4136 5170 5640 6204 7286 7755 10340 10929 12408 14572 15510 18215 20680 21858 29144 31020 36430 40073 43716 54645 62040 72860 80146 87432 109290 120219 145720 160292 171221 200365 218580 240438 320584 342442 400730 437160 480876 513663 601095 684884 801460 856105 961752 1027326 1202190 1369768 1602920 1712210 1883431 2054652 2404380 2568315 3424420 3766862 4109304 4808760 5136630 5650293 6848840 7533724 9417155 10273260 11300586 15067448 18834310 20546520 22601172 28251465 37668620 45202344 56502930 75337240 113005860 226011720