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226857702528 = 2732140332
BaseRepresentation
bin1101001101000111000…
…1011101010010000000
3210200120002210100002200
43103101301131102000
512204101032440103
6252114511513200
722250513440512
oct3232161352200
9720502710080
10226857702528
1188234293676
1237b72228800
1318514699a52
14ada1081bb2
155d7b29c0a3
hex34d1c5d480

226857702528 has 72 divisors (see below), whose sum is σ = 652853192745. Its totient is φ = 75613845504.

The previous prime is 226857702527. The next prime is 226857702559. The reversal of 226857702528 is 825207758622.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

226857702528 is a `hidden beast` number, since 2 + 2 + 68 + 57 + 7 + 0 + 2 + 528 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 186147376704 + 40710325824 = 431448^2 + 201768^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=336792.

It is not an unprimeable number, because it can be changed into a prime (226857702527) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16159000 + ... + 16173032.

Almost surely, 2226857702528 is an apocalyptic number.

It is an amenable number.

226857702528 is an abundant number, since it is smaller than the sum of its proper divisors (425995490217).

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

226857702528 is an frugal number, since it uses more digits than its factorization.

226857702528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28086 (or 14038 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 226857702528 in words is "two hundred twenty-six billion, eight hundred fifty-seven million, seven hundred two thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 14033 28066 42099 56132 84198 112264 126297 168396 224528 252594 336792 449056 505188 673584 898112 1010376 1347168 1796224 2020752 2694336 4041504 5388672 8083008 16166016 196925089 393850178 590775267 787700356 1181550534 1575400712 1772325801 2363101068 3150801424 3544651602 4726202136 6301602848 7089303204 9452404272 12603205696 14178606408 18904808544 25206411392 28357212816 37809617088 56714425632 75619234176 113428851264 226857702528