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272227640 = 23529331709
BaseRepresentation
bin10000001110011…
…101110100111000
3200222020121010012
4100032131310320
51024142241030
643002441052
76513616406
oct2016356470
9628217105
10272227640
1112a735723
1277203188
1344525a59
1428224476
1518d75095
hex1039dd38

272227640 has 64 divisors (see below), whose sum is σ = 636444000. Its totient is φ = 104670720.

The previous prime is 272227639. The next prime is 272227651. The reversal of 272227640 is 46722272.

It is a junction number, because it is equal to n+sod(n) for n = 272227597 and 272227606.

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, 383606 + ... + 384314.

Almost surely, 2272227640 is an apocalyptic number.

272227640 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 272227640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318222000).

272227640 is an abundant number, since it is smaller than the sum of its proper divisors (364216360).

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

272227640 is a wasteful number, since it uses less digits than its factorization.

272227640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 32.

The square root of 272227640 is about 16499.3224103295. The cubic root of 272227640 is about 648.1030611366.

The spelling of 272227640 in words is "two hundred seventy-two million, two hundred twenty-seven thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 331 580 662 709 1160 1324 1418 1655 2648 2836 3310 3545 5672 6620 7090 9599 13240 14180 19198 20561 28360 38396 41122 47995 76792 82244 95990 102805 164488 191980 205610 234679 383960 411220 469358 822440 938716 1173395 1877432 2346790 4693580 6805691 9387160 13611382 27222764 34028455 54445528 68056910 136113820 272227640