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22256480 = 2551131231
BaseRepresentation
bin101010011100…
…1101101100000
31112212202011002
41110321231200
521144201410
62113011132
7360114461
oct124715540
945782132
1022256480
1111621694
127553aa8
1347c351c
142d54d68
151e497a5
hex1539b60

22256480 has 48 divisors (see below), whose sum is σ = 53089344. Its totient is φ = 8816640.

The previous prime is 22256473. The next prime is 22256483. The reversal of 22256480 is 8465222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22256483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17465 + ... + 18695.

It is an arithmetic number, because the mean of its divisors is an integer number (1106028).

Almost surely, 222256480 is an apocalyptic number.

22256480 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 22256480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26544672).

22256480 is an abundant number, since it is smaller than the sum of its proper divisors (30832864).

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

22256480 is a wasteful number, since it uses less digits than its factorization.

22256480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1359 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 22256480 is about 4717.6773946509. The cubic root of 22256480 is about 281.2886182362.

The spelling of 22256480 in words is "twenty-two million, two hundred fifty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 113 160 226 452 565 904 1130 1231 1808 2260 2462 3616 4520 4924 6155 9040 9848 12310 18080 19696 24620 39392 49240 98480 139103 196960 278206 556412 695515 1112824 1391030 2225648 2782060 4451296 5564120 11128240 22256480