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22321980 = 223651531
BaseRepresentation
bin101010100100…
…1101100111100
31120000002000000
41111021230330
521203300410
62114234300
7360506442
oct125115474
946002000
1022321980
111166691a
127585990
134817295
142d70b92
151e5ddc0
hex1549b3c

22321980 has 84 divisors (see below), whose sum is σ = 70327992. Its totient is φ = 5948640.

The previous prime is 22321961. The next prime is 22321991. The reversal of 22321980 is 8912322.

It is a happy number.

It is a super-3 number, since 3×223219803 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 27 ways as a sum of consecutive naturals, for example, 13815 + ... + 15345.

It is an arithmetic number, because the mean of its divisors is an integer number (837238).

Almost surely, 222321980 is an apocalyptic number.

22321980 is a gapful number since it is divisible by the number (20) 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 22321980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35163996).

22321980 is an abundant number, since it is smaller than the sum of its proper divisors (48006012).

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

22321980 is a wasteful number, since it uses less digits than its factorization.

22321980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1558 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 22321980 is about 4724.6142699696. The cubic root of 22321980 is about 281.5642886608.

The spelling of 22321980 in words is "twenty-two million, three hundred twenty-one thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 729 810 972 1215 1458 1531 1620 2430 2916 3062 3645 4593 4860 6124 7290 7655 9186 13779 14580 15310 18372 22965 27558 30620 41337 45930 55116 68895 82674 91860 124011 137790 165348 206685 248022 275580 372033 413370 496044 620055 744066 826740 1116099 1240110 1488132 1860165 2232198 2480220 3720330 4464396 5580495 7440660 11160990 22321980