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225727653632 = 2813463914621
BaseRepresentation
bin1101001000111001101…
…0101010011100000000
3210120122100101220102212
43102032122222130000
512144242234404012
6251410423001252
722210512253355
oct3221632523400
9716570356385
10225727653632
1187804415168
12378b7899228
1318394527a70
14acd4d6062c
155d11e7cb22
hex348e6aa700

225727653632 has 72 divisors (see below), whose sum is σ = 485370856320. Its totient is φ = 104152412160.

The previous prime is 225727653587. The next prime is 225727653667. The reversal of 225727653632 is 236356727522.

It is a super-2 number, since 2×2257276536322 (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 7 ways as a sum of consecutive naturals, for example, 15431282 + ... + 15445902.

Almost surely, 2225727653632 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 225727653632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242685428160).

225727653632 is an abundant number, since it is smaller than the sum of its proper divisors (259643202688).

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

225727653632 is a wasteful number, since it uses less digits than its factorization.

225727653632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19289 (or 19275 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 50.

The spelling of 225727653632 in words is "two hundred twenty-five billion, seven hundred twenty-seven million, six hundred fifty-three thousand, six hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 1664 3328 4639 9278 14621 18556 29242 37112 58484 60307 74224 116968 120614 148448 190073 233936 241228 296896 380146 467872 482456 593792 760292 935744 964912 1187584 1520584 1871488 1929824 3041168 3742976 3859648 6082336 7719296 12164672 15438592 24329344 48658688 67826819 135653638 271307276 542614552 881748647 1085229104 1763497294 2170458208 3526994588 4340916416 7053989176 8681832832 14107978352 17363665664 28215956704 56431913408 112863826816 225727653632