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22680072 = 23321959281
BaseRepresentation
bin101011010000…
…1001000001000
31120200021012200
41112201020020
521301230242
62130040200
7363530442
oct126411010
946607180
1022680072
1111890968
127719060
13491127c
143025492
151ed004c
hex15a1208

22680072 has 96 divisors (see below), whose sum is σ = 65988000. Its totient is φ = 7015680.

The previous prime is 22680067. The next prime is 22680089. The reversal of 22680072 is 27008622.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80572 + ... + 80852.

It is an arithmetic number, because the mean of its divisors is an integer number (687375).

Almost surely, 222680072 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 22680072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32994000).

22680072 is an abundant number, since it is smaller than the sum of its proper divisors (43307928).

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

22680072 is a wasteful number, since it uses less digits than its factorization.

22680072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 22680072 is about 4762.3599191997. The cubic root of 22680072 is about 283.0619383548.

Adding to 22680072 its reverse (27008622), we get a palindrome (49688694).

The spelling of 22680072 in words is "twenty-two million, six hundred eighty thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 59 72 76 114 118 152 171 177 228 236 281 342 354 456 472 531 562 684 708 843 1062 1121 1124 1368 1416 1686 2124 2242 2248 2529 3363 3372 4248 4484 5058 5339 6726 6744 8968 10089 10116 10678 13452 16017 16579 20178 20232 21356 26904 32034 33158 40356 42712 48051 49737 64068 66316 80712 96102 99474 128136 132632 149211 192204 198948 298422 315001 384408 397896 596844 630002 945003 1193688 1260004 1890006 2520008 2835009 3780012 5670018 7560024 11340036 22680072