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225491044352 = 2117214992
BaseRepresentation
bin1101001000000001010…
…0000100100000000000
3210120000212011220112012
43102000110010200000
512143301201404402
6251331131352052
722201610152400
oct3220024044000
9716025156465
10225491044352
11876a28a8102
12378505b2628
13183574c3382
14acb176c800
155ceb2e1452
hex3480504800

225491044352 has 108 divisors (see below), whose sum is σ = 524833860915. Its totient is φ = 96574550016.

The previous prime is 225491044333. The next prime is 225491044379. The reversal of 225491044352 is 253440194522.

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.

225491044352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 112745522176 + 112745522176 = 335776^2 + 335776^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=335776.

It is a super-2 number, since 2×2254910443522 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 150426899 + ... + 150428397.

Almost surely, 2225491044352 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 225491044352

225491044352 is an abundant number, since it is smaller than the sum of its proper divisors (299342816563).

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

225491044352 is an frugal number, since it uses more digits than its factorization.

225491044352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3034 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 41.

The spelling of 225491044352 in words is "two hundred twenty-five billion, four hundred ninety-one million, forty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1024 1499 1568 1792 2048 2998 3136 3584 5996 6272 7168 10493 11992 12544 14336 20986 23984 25088 41972 47968 50176 73451 83944 95936 100352 146902 167888 191872 293804 335776 383744 587608 671552 767488 1175216 1343104 1534976 2247001 2350432 2686208 3069952 4494002 4700864 5372416 8988004 9401728 10744832 15729007 17976008 18803456 21489664 31458014 35952016 37606912 62916028 71904032 75213824 110103049 125832056 143808064 150427648 220206098 251664112 287616128 440412196 503328224 575232256 880824392 1006656448 1150464512 1761648784 2013312896 2300929024 3523297568 4026625792 4601858048 7046595136 8053251584 14093190272 16106503168 28186380544 32213006336 56372761088 112745522176 225491044352