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22042152 = 2333119277
BaseRepresentation
bin101010000010…
…1011000101000
31112110212011000
41110011120220
521120322102
62104235000
7355232556
oct124053050
945425130
1022042152
1111495660
12746ba60
134749ac2
142cdabd6
151e0601c
hex1505628

22042152 has 64 divisors (see below), whose sum is σ = 66801600. Its totient is φ = 6678720.

The previous prime is 22042127. The next prime is 22042157. The reversal of 22042152 is 25124022.

It is a super-2 number, since 2×220421522 = 971712929582208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (22042157) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2263 + ... + 7014.

It is an arithmetic number, because the mean of its divisors is an integer number (1043775).

Almost surely, 222042152 is an apocalyptic number.

22042152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

22042152 is an abundant number, since it is smaller than the sum of its proper divisors (44759448).

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

22042152 is a wasteful number, since it uses less digits than its factorization.

22042152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9303 (or 9293 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 22042152 is about 4694.9070278335. The cubic root of 22042152 is about 280.3827758051.

Adding to 22042152 its reverse (25124022), we get a palindrome (47166174).

It can be divided in two parts, 2204 and 2152, that added together give a square (4356 = 662).

The spelling of 22042152 in words is "twenty-two million, forty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 9277 18554 27831 37108 55662 74216 83493 102047 111324 166986 204094 222648 250479 306141 333972 408188 500958 612282 667944 816376 918423 1001916 1224564 1836846 2003832 2449128 2755269 3673692 5510538 7347384 11021076 22042152