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22124872 = 237311733
BaseRepresentation
bin101010001100…
…1100101001000
31112122001121201
41110121211020
521130443442
62110113544
7356026000
oct124314510
945561551
1022124872
1111541820
1274ab8b4
134778653
142d1d000
151e207b7
hex1519948

22124872 has 64 divisors (see below), whose sum is σ = 52848000. Its totient is φ = 8608320.

The previous prime is 22124857. The next prime is 22124881. The reversal of 22124872 is 27842122.

It is a super-2 number, since 2×221248722 = 979019922032768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 22124872.

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, 29818 + ... + 30550.

It is an arithmetic number, because the mean of its divisors is an integer number (825750).

Almost surely, 222124872 is an apocalyptic number.

22124872 is a gapful number since it is divisible by the number (22) 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 22124872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26424000).

22124872 is an abundant number, since it is smaller than the sum of its proper divisors (30723128).

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

22124872 is a wasteful number, since it uses less digits than its factorization.

22124872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 753 counting only the distinct ones).

The product of its digits is 3584, while the sum is 28.

The square root of 22124872 is about 4703.7083242905. The cubic root of 22124872 is about 280.7330790220.

Adding to 22124872 its reverse (27842122), we get a palindrome (49966994).

The spelling of 22124872 in words is "twenty-two million, one hundred twenty-four thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 98 154 196 308 343 392 539 616 686 733 1078 1372 1466 2156 2744 2932 3773 4312 5131 5864 7546 8063 10262 15092 16126 20524 30184 32252 35917 41048 56441 64504 71834 112882 143668 225764 251419 287336 395087 451528 502838 790174 1005676 1580348 2011352 2765609 3160696 5531218 11062436 22124872