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225654005456 = 24112116556821
BaseRepresentation
bin1101001000101000000…
…1101101111011010000
3210120110012211012010122
43102022001231323100
512144114411133311
6251355232245412
722205626253555
oct3221201557320
9716405735118
10225654005456
1187776892200
12378970a0868
13183821ac869
14acc926ca2c
155d0a7810db
hex348a06ded0

225654005456 has 30 divisors (see below), whose sum is σ = 480563777106. Its totient is φ = 102570001600.

The previous prime is 225654005333. The next prime is 225654005503. The reversal of 225654005456 is 654500456522.

It can be written as a sum of positive squares in only one way, i.e., 208392250000 + 17261755456 = 456500^2 + 131384^2 .

It is a Harshad number since it is a multiple of its sum of digits (44).

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 5 ways as a sum of consecutive naturals, for example, 58276475 + ... + 58280346.

Almost surely, 2225654005456 is an apocalyptic number.

It is an amenable number.

225654005456 is an abundant number, since it is smaller than the sum of its proper divisors (254909771650).

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

225654005456 is a wasteful number, since it uses less digits than its factorization.

225654005456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116556851 (or 116556834 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 44.

The spelling of 225654005456 in words is "two hundred twenty-five billion, six hundred fifty-four million, five thousand, four hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 116556821 233113642 466227284 932454568 1282125031 1864909136 2564250062 5128500124 10257000248 14103375341 20514000496 28206750682 56413501364 112827002728 225654005456