Search a number
-
+
22012992 = 263312739
BaseRepresentation
bin101001111111…
…0010001000000
31112102101011000
41103332101000
521113403432
62103452000
7355051551
oct123762100
945371130
1022012992
1111475761
127457000
134739751
142cd0328
151dec57c
hex14fe440

22012992 has 56 divisors (see below), whose sum is σ = 64719200. Its totient is φ = 7337088.

The previous prime is 22012981. The next prime is 22013021. The reversal of 22012992 is 29921022.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4642 + ... + 8097.

It is an arithmetic number, because the mean of its divisors is an integer number (1155700).

Almost surely, 222012992 is an apocalyptic number.

It is an amenable number.

22012992 is an abundant number, since it is smaller than the sum of its proper divisors (42706208).

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

22012992 is a wasteful number, since it uses less digits than its factorization.

22012992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12760 (or 12744 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 22012992 is about 4691.8005072680. The cubic root of 22012992 is about 280.2590799311.

The spelling of 22012992 in words is "twenty-two million, twelve thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 12739 25478 38217 50956 76434 101912 114651 152868 203824 229302 305736 343953 407648 458604 611472 687906 815296 917208 1222944 1375812 1834416 2445888 2751624 3668832 5503248 7337664 11006496 22012992