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22512012 = 22317211523
BaseRepresentation
bin101010111100…
…0000110001100
31120100201200020
41111320012030
521230341022
62122302140
7362230455
oct125700614
946321606
1022512012
1111786676
127657950
134882923
142dc012c
151e9a35c
hex157818c

22512012 has 48 divisors (see below), whose sum is σ = 55988352. Its totient is φ = 7015680.

The previous prime is 22511999. The next prime is 22512019. The reversal of 22512012 is 21021522.

It is a junction number, because it is equal to n+sod(n) for n = 22511982 and 22512000.

It is not an unprimeable number, because it can be changed into a prime (22512019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42783 + ... + 43305.

It is an arithmetic number, because the mean of its divisors is an integer number (1166424).

Almost surely, 222512012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22512012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27994176).

22512012 is an abundant number, since it is smaller than the sum of its proper divisors (33476340).

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

22512012 is a wasteful number, since it uses less digits than its factorization.

22512012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 22512012 is about 4744.6824972805. The cubic root of 22512012 is about 282.3610385035.

Adding to 22512012 its reverse (21021522), we get a palindrome (43533534).

The spelling of 22512012 in words is "twenty-two million, five hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 211 422 523 633 844 1046 1266 1569 2092 2532 3138 3587 6276 7174 8891 10761 14348 17782 21522 26673 35564 43044 53346 106692 110353 220706 331059 441412 662118 1324236 1876001 3752002 5628003 7504004 11256006 22512012