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226596965824 = 2619415777877
BaseRepresentation
bin1101001100001000111…
…0110100110111000000
3210122212221011112120201
43103002032310313000
512203032310401244
6252032555214544
722241166300265
oct3230216646700
9718787145521
10226596965824
1188110097299
1237abaa47454
13184a2668388
14ad785ad26c
155d63446ad4
hex34c23b4dc0

226596965824 has 112 divisors (see below), whose sum is σ = 485765673120. Its totient is φ = 104522711040.

The previous prime is 226596965809. The next prime is 226596965849. The reversal of 226596965824 is 428569695622.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28762974 + ... + 28770850.

It is an arithmetic number, because the mean of its divisors is an integer number (4337193510).

Almost surely, 2226596965824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226596965824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242882836560).

226596965824 is an abundant number, since it is smaller than the sum of its proper divisors (259168707296).

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

226596965824 is a wasteful number, since it uses less digits than its factorization.

226596965824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8526 (or 8516 counting only the distinct ones).

The product of its digits is 111974400, while the sum is 64.

The spelling of 226596965824 in words is "two hundred twenty-six billion, five hundred ninety-six million, nine hundred sixty-five thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 19 32 38 41 64 76 82 152 164 304 328 577 608 656 779 1154 1216 1312 1558 2308 2624 3116 4616 6232 7877 9232 10963 12464 15754 18464 21926 23657 24928 31508 36928 43852 47314 49856 63016 87704 94628 126032 149663 175408 189256 252064 299326 322957 350816 378512 449483 504128 598652 645914 701632 757024 898966 1197304 1291828 1514048 1797932 2394608 2583656 3595864 4545029 4789216 5167312 6136183 7191728 9090058 9578432 10334624 12272366 14383456 18180116 20669248 24544732 28766912 36360232 49089464 72720464 86355551 98178928 145440928 172711102 186346189 196357856 290881856 345422204 372692378 392715712 690844408 745384756 1381688816 1490769512 2763377632 2981539024 3540577591 5526755264 5963078048 7081155182 11926156096 14162310364 28324620728 56649241456 113298482912 226596965824