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22824972 = 22322921863
BaseRepresentation
bin101011100010…
…0100000001100
31120221121222100
41113010200030
521320344342
62133115100
7365003052
oct127044014
946847870
1022824972
111197a815
127788a90
134962201
1430621d2
15200ce4c
hex15c480c

22824972 has 36 divisors (see below), whose sum is σ = 59688720. Its totient is φ = 7345632.

The previous prime is 22824961. The next prime is 22824979. The reversal of 22824972 is 27942822.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (22824979) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9888 + ... + 11975.

It is an arithmetic number, because the mean of its divisors is an integer number (1658020).

Almost surely, 222824972 is an apocalyptic number.

It is an amenable number.

22824972 is an abundant number, since it is smaller than the sum of its proper divisors (36863748).

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

22824972 is a wasteful number, since it uses less digits than its factorization.

22824972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21902 (or 21897 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 22824972 is about 4777.5487438644. The cubic root of 22824972 is about 283.6634743003.

It can be divided in two parts, 228 and 24972, that added together give a triangular number (25200 = T224).

The spelling of 22824972 in words is "twenty-two million, eight hundred twenty-four thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 21863 43726 65589 87452 131178 196767 262356 393534 634027 787068 1268054 1902081 2536108 3804162 5706243 7608324 11412486 22824972