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225465660432 = 243557990139
BaseRepresentation
bin1101000111111011001…
…1001111010000010000
3210112222002102021100000
43101332303033100100
512143223202113212
6251324423330000
722201151330655
oct3217663172020
9715862367300
10225465660432
118768a53a861
1237843bb0900
13183521764bc
14acac241c2c
155ce8e7a1dc
hex347eccf410

225465660432 has 60 divisors (see below), whose sum is σ = 654360739760. Its totient is φ = 75155218848.

The previous prime is 225465660391. The next prime is 225465660461. The reversal of 225465660432 is 234066564522.

225465660432 is a `hidden beast` number, since 2 + 2 + 5 + 4 + 6 + 5 + 6 + 604 + 32 = 666.

225465660432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28991182 + ... + 28998957.

Almost surely, 2225465660432 is an apocalyptic number.

It is an amenable number.

225465660432 is an abundant number, since it is smaller than the sum of its proper divisors (428895079328).

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

225465660432 is an equidigital number, since it uses as much as digits as its factorization.

225465660432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57990162 (or 57990144 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 225465660432 in words is "two hundred twenty-five billion, four hundred sixty-five million, six hundred sixty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1296 1944 3888 57990139 115980278 173970417 231960556 347940834 463921112 521911251 695881668 927842224 1043822502 1391763336 1565733753 2087645004 2783526672 3131467506 4175290008 4697201259 6262935012 8350580016 9394402518 12525870024 14091603777 18788805036 25051740048 28183207554 37577610072 56366415108 75155220144 112732830216 225465660432