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22422972 = 223111373179
BaseRepresentation
bin101010110001…
…0010110111100
31120012012112110
41111202112330
521220013342
62120334020
7361410045
oct125422674
946165473
1022422972
1111725790
127614310
134851240
142d998cc
151e7dc9c
hex15625bc

22422972 has 96 divisors (see below), whose sum is σ = 62657280. Its totient is φ = 6151680.

The previous prime is 22422971. The next prime is 22423001. The reversal of 22422972 is 27922422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22422971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125179 + ... + 125357.

It is an arithmetic number, because the mean of its divisors is an integer number (652680).

Almost surely, 222422972 is an apocalyptic number.

22422972 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 22422972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31328640).

22422972 is an abundant number, since it is smaller than the sum of its proper divisors (40234308).

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

22422972 is a wasteful number, since it uses less digits than its factorization.

22422972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 281 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 22422972 is about 4735.2900650330. The cubic root of 22422972 is about 281.9882797805.

The spelling of 22422972 in words is "twenty-two million, four hundred twenty-two thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 73 78 132 143 146 156 179 219 286 292 358 429 438 537 572 716 803 858 876 949 1074 1606 1716 1898 1969 2148 2327 2409 2847 3212 3796 3938 4654 4818 5694 5907 6981 7876 9308 9636 10439 11388 11814 13067 13962 20878 23628 25597 26134 27924 31317 39201 41756 51194 52268 62634 76791 78402 102388 125268 143737 153582 156804 169871 287474 307164 339742 431211 509613 574948 679484 862422 1019226 1724844 1868581 2038452 3737162 5605743 7474324 11211486 22422972