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225731346104 = 231137311222919
BaseRepresentation
bin1101001000111010100…
…0101111111010111000
3210120122121100111120002
43102032220233322320
512144244211033404
6251411034052132
722210555532525
oct3221650577270
9716577314502
10225731346104
11878065073a0
12378b8b7a048
131839521b664
14acd564214c
155d1245bc1e
hex348ea2feb8

225731346104 has 64 divisors (see below), whose sum is σ = 475729113600. Its totient is φ = 99510595200.

The previous prime is 225731346047. The next prime is 225731346163. The reversal of 225731346104 is 401643137522.

It is a super-2 number, since 2×2257313461042 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 901157 + ... + 1124075.

It is an arithmetic number, because the mean of its divisors is an integer number (7433267400).

Almost surely, 2225731346104 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 225731346104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237864556800).

225731346104 is an abundant number, since it is smaller than the sum of its proper divisors (249997767496).

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

225731346104 is a wasteful number, since it uses less digits than its factorization.

225731346104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223284 (or 223280 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 38.

The spelling of 225731346104 in words is "two hundred twenty-five billion, seven hundred thirty-one million, three hundred forty-six thousand, one hundred four".

Divisors: 1 2 4 8 11 22 37 44 74 88 148 296 311 407 622 814 1244 1628 2488 3256 3421 6842 11507 13684 23014 27368 46028 92056 126577 222919 253154 445838 506308 891676 1012616 1783352 2452109 4904218 8248003 9808436 16496006 19616872 32992012 65984024 69327809 90728033 138655618 181456066 277311236 362912132 554622472 725824264 762605899 1525211798 2565128933 3050423596 5130257866 6100847192 10260515732 20521031464 28216418263 56432836526 112865673052 225731346104