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22680504 = 23327114091
BaseRepresentation
bin101011010000…
…1001110111000
31120200021210200
41112201032320
521301234004
62130042200
7363531630
oct126411670
946607720
1022680504
1111891220
127719360
134911522
1430256c0
151ed0239
hex15a13b8

22680504 has 96 divisors (see below), whose sum is σ = 76602240. Its totient is φ = 5889600.

The previous prime is 22680467. The next prime is 22680517. The reversal of 22680504 is 40508622.

It is a congruent number.

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, 3499 + ... + 7589.

It is an arithmetic number, because the mean of its divisors is an integer number (797940).

Almost surely, 222680504 is an apocalyptic number.

22680504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22680504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38301120).

22680504 is an abundant number, since it is smaller than the sum of its proper divisors (53921736).

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

22680504 is a wasteful number, since it uses less digits than its factorization.

22680504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4121 (or 4114 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 22680504 is about 4762.4052746485. The cubic root of 22680504 is about 283.0637355563.

The spelling of 22680504 in words is "twenty-two million, six hundred eighty thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 56 63 66 72 77 84 88 99 126 132 154 168 198 231 252 264 308 396 462 504 616 693 792 924 1386 1848 2772 4091 5544 8182 12273 16364 24546 28637 32728 36819 45001 49092 57274 73638 85911 90002 98184 114548 135003 147276 171822 180004 229096 257733 270006 294552 315007 343644 360008 405009 515466 540012 630014 687288 810018 945021 1030932 1080024 1260028 1620036 1890042 2061864 2520056 2835063 3240072 3780084 5670126 7560168 11340252 22680504