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22942272 = 263192331
BaseRepresentation
bin101011110000…
…1001001000000
31121011120212210
41113201021000
521333123042
62135422120
7366002043
oct127411100
947146783
1022942272
1111a4a961
127824940
1349a3712
143092c5a
152032a9c
hex15e1240

22942272 has 84 divisors (see below), whose sum is σ = 64257936. Its totient is φ = 7223040.

The previous prime is 22942267. The next prime is 22942289. The reversal of 22942272 is 27224922.

Its product of digits (8064) is a multiple of the sum of its prime factors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69147 + ... + 69477.

Almost surely, 222942272 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 22942272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32128968).

22942272 is an abundant number, since it is smaller than the sum of its proper divisors (41315664).

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

22942272 is a wasteful number, since it uses less digits than its factorization.

22942272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 355 counting only the distinct ones).

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

The square root of 22942272 is about 4789.8091820030. The cubic root of 22942272 is about 284.1485700195.

The spelling of 22942272 in words is "twenty-two million, nine hundred forty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 331 361 456 608 662 722 912 993 1083 1216 1324 1444 1824 1986 2166 2648 2888 3648 3972 4332 5296 5776 6289 7944 8664 10592 11552 12578 15888 17328 18867 21184 23104 25156 31776 34656 37734 50312 63552 69312 75468 100624 119491 150936 201248 238982 301872 358473 402496 477964 603744 716946 955928 1207488 1433892 1911856 2867784 3823712 5735568 7647424 11471136 22942272