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22725440 = 265471511
BaseRepresentation
bin101011010110…
…0001101000000
31120202120102222
41112230031000
521304203230
62131030212
7364106633
oct126541500
946676388
1022725440
1111911a61
12773b368
134928b0a
143037c1a
151edd6e5
hex15ac340

22725440 has 56 divisors (see below), whose sum is σ = 55302912. Its totient is φ = 8890880.

The previous prime is 22725431. The next prime is 22725497. The reversal of 22725440 is 4452722.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

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, 14285 + ... + 15795.

It is an arithmetic number, because the mean of its divisors is an integer number (987552).

Almost surely, 222725440 is an apocalyptic number.

22725440 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 22725440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27651456).

22725440 is an abundant number, since it is smaller than the sum of its proper divisors (32577472).

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

22725440 is a wasteful number, since it uses less digits than its factorization.

22725440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1575 (or 1565 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 26.

The square root of 22725440 is about 4767.1207242947. The cubic root of 22725440 is about 283.2505532871.

The spelling of 22725440 in words is "twenty-two million, seven hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 64 80 94 160 188 235 320 376 470 752 940 1504 1511 1880 3008 3022 3760 6044 7520 7555 12088 15040 15110 24176 30220 48352 60440 71017 96704 120880 142034 241760 284068 355085 483520 568136 710170 1136272 1420340 2272544 2840680 4545088 5681360 11362720 22725440