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22052412 = 2234292347
BaseRepresentation
bin101010000011…
…1111000111100
31112111101020000
41110013320330
521121134122
62104354300
7355304514
oct124077074
945441200
1022052412
11114a2338
127475990
134751685
142d00844
151e090ac
hex1507e3c

22052412 has 60 divisors (see below), whose sum is σ = 59662680. Its totient is φ = 7094304.

The previous prime is 22052347. The next prime is 22052431. The reversal of 22052412 is 21425022.

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

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 8223 + ... + 10569.

It is an arithmetic number, because the mean of its divisors is an integer number (994378).

Almost surely, 222052412 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 22052412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29831340).

22052412 is an abundant number, since it is smaller than the sum of its proper divisors (37610268).

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

22052412 is a wasteful number, since it uses less digits than its factorization.

22052412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2392 (or 2381 counting only the distinct ones).

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

The square root of 22052412 is about 4695.9995741056. Note that the first 3 decimals coincide. The cubic root of 22052412 is about 280.4262724814.

Adding to 22052412 its reverse (21425022), we get a palindrome (43477434).

The spelling of 22052412 in words is "twenty-two million, fifty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 261 324 348 522 783 1044 1566 2347 2349 3132 4694 4698 7041 9388 9396 14082 21123 28164 42246 63369 68063 84492 126738 136126 190107 204189 253476 272252 380214 408378 612567 760428 816756 1225134 1837701 2450268 3675402 5513103 7350804 11026206 22052412