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225105750720 = 26325193404983
BaseRepresentation
bin1101000110100101011…
…0010010101011000000
3210112001000011222000200
43101221112102223000
512142004033010340
6251225005245200
722156221211344
oct3215126225300
9715030158020
10225105750720
1187515367314
1237763563800
13182c5730886
14ac76515624
155cc7585330
hex3469592ac0

225105750720 has 168 divisors, whose sum is σ = 778283671776. Its totient is φ = 59717025792.

The previous prime is 225105750707. The next prime is 225105750721. The reversal of 225105750720 is 27057501522.

225105750720 is a `hidden beast` number, since 2 + 2 + 5 + 10 + 575 + 0 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (225105750721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 353349 + ... + 758331.

Almost surely, 2225105750720 is an apocalyptic number.

225105750720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225105750720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389141835888).

225105750720 is an abundant number, since it is smaller than the sum of its proper divisors (553177921056).

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

225105750720 is a wasteful number, since it uses less digits than its factorization.

225105750720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405199 (or 405186 counting only the distinct ones).

The product of its (nonzero) digits is 49000, while the sum is 36.

The spelling of 225105750720 in words is "two hundred twenty-five billion, one hundred five million, seven hundred fifty thousand, seven hundred twenty".