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20522964 = 223721119167
BaseRepresentation
bin100111001001…
…0011111010100
31102121200012210
41032102133110
520223213324
62011513420
7336304500
oct116223724
942550183
1020522964
1110648230
126a58870
134337487
142a23300
151c05d29
hex13927d4

20522964 has 144 divisors (see below), whose sum is σ = 64350720. Its totient is φ = 5019840.

The previous prime is 20522951. The next prime is 20522977. The reversal of 20522964 is 46922502.

It is an interprime number because it is at equal distance from previous prime (20522951) and next prime (20522977).

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 47 ways as a sum of consecutive naturals, for example, 122809 + ... + 122975.

It is an arithmetic number, because the mean of its divisors is an integer number (446880).

Almost surely, 220522964 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 20522964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32175360).

20522964 is an abundant number, since it is smaller than the sum of its proper divisors (43827756).

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

20522964 is a wasteful number, since it uses less digits than its factorization.

20522964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 20522964 is about 4530.2278088414. The cubic root of 20522964 is about 273.7873392073.

The spelling of 20522964 in words is "twenty million, five hundred twenty-two thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 11 12 14 19 21 22 28 33 38 42 44 49 57 66 76 77 84 98 114 132 133 147 154 167 196 209 228 231 266 294 308 334 399 418 462 501 532 539 588 627 668 798 836 924 931 1002 1078 1169 1254 1463 1596 1617 1837 1862 2004 2156 2338 2508 2793 2926 3173 3234 3507 3674 3724 4389 4676 5511 5586 5852 6346 6468 7014 7348 8183 8778 9519 10241 11022 11172 12692 12859 14028 16366 17556 19038 20482 22044 22211 24549 25718 30723 32732 34903 38076 38577 40964 44422 49098 51436 61446 66633 69806 77154 88844 90013 98196 104709 122892 133266 139612 154308 155477 180026 209418 244321 266532 270039 310954 360052 418836 466431 488642 540078 621908 732963 932862 977284 1080156 1465926 1710247 1865724 2931852 3420494 5130741 6840988 10261482 20522964