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22870272 = 28397307
BaseRepresentation
bin101011100111…
…1100100000000
31121000221010010
41113033210000
521323322042
62134104520
7365252115
oct127174400
947027103
1022870272
1111a00857
1277ab140
134979a09
14307490c
15201b59c
hex15cf900

22870272 has 72 divisors (see below), whose sum is σ = 61696096. Its totient is φ = 7520256.

The previous prime is 22870261. The next prime is 22870273. The reversal of 22870272 is 27207822.

It is not an unprimeable number, because it can be changed into a prime (22870273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74343 + ... + 74649.

Almost surely, 222870272 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 22870272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30848048).

22870272 is an abundant number, since it is smaller than the sum of its proper divisors (38825824).

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

22870272 is an equidigital number, since it uses as much as digits as its factorization.

22870272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 22870272 is about 4782.2873188465. The cubic root of 22870272 is about 283.8510095983.

It can be divided in two parts, 228 and 70272, that added together give a triangular number (70500 = T375).

The spelling of 22870272 in words is "twenty-two million, eight hundred seventy thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 128 192 194 256 291 307 384 388 582 614 768 776 921 1164 1228 1552 1842 2328 2456 3104 3684 4656 4912 6208 7368 9312 9824 12416 14736 18624 19648 24832 29472 29779 37248 39296 58944 59558 74496 78592 89337 117888 119116 178674 235776 238232 357348 476464 714696 952928 1429392 1905856 2858784 3811712 5717568 7623424 11435136 22870272