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22137856 = 210131663
BaseRepresentation
bin101010001110…
…0110000000000
31112122201102121
41110130300000
521131402411
62110254024
7356111566
oct124346000
945581377
1022137856
1111550554
1274b7314
134781530
142d23a36
151e24571
hex151cc00

22137856 has 44 divisors (see below), whose sum is σ = 47686912. Its totient is φ = 10211328.

The previous prime is 22137851. The next prime is 22137881. The reversal of 22137856 is 65873122.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22137851) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12481 + ... + 14143.

Almost surely, 222137856 is an apocalyptic number.

22137856 is a gapful number since it is divisible by the number (26) 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 22137856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23843456).

22137856 is an abundant number, since it is smaller than the sum of its proper divisors (25549056).

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

22137856 is a wasteful number, since it uses less digits than its factorization.

22137856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1696 (or 1678 counting only the distinct ones).

The product of its digits is 20160, while the sum is 34.

The square root of 22137856 is about 4705.0883094794. The cubic root of 22137856 is about 280.7879844319.

The spelling of 22137856 in words is "twenty-two million, one hundred thirty-seven thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1024 1663 1664 3326 3328 6652 6656 13304 13312 21619 26608 43238 53216 86476 106432 172952 212864 345904 425728 691808 851456 1383616 1702912 2767232 5534464 11068928 22137856