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22820868 = 22327217761
BaseRepresentation
bin101011100001…
…1100000000100
31120221102100100
41113003200010
521320231433
62133044100
7364655100
oct127034004
946842310
1022820868
1111977724
127786630
134960395
143060900
15200bb13
hex15c3804

22820868 has 108 divisors (see below), whose sum is σ = 71144892. Its totient is φ = 6128640.

The previous prime is 22820857. The next prime is 22820873. The reversal of 22820868 is 86802822.

It can be written as a sum of positive squares in 2 ways, for example, as 6563844 + 16257024 = 2562^2 + 4032^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29608 + ... + 30368.

It is an arithmetic number, because the mean of its divisors is an integer number (658749).

Almost surely, 222820868 is an apocalyptic number.

22820868 is a gapful number since it is divisible by the number (28) 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 22820868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35572446).

22820868 is an abundant number, since it is smaller than the sum of its proper divisors (48324024).

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

22820868 is a wasteful number, since it uses less digits than its factorization.

22820868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 22820868 is about 4777.1192155943. The cubic root of 22820868 is about 283.6464720936.

The spelling of 22820868 in words is "twenty-two million, eight hundred twenty thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 49 51 63 68 84 98 102 119 126 147 153 196 204 238 252 294 306 357 441 476 588 612 714 761 833 882 1071 1428 1522 1666 1764 2142 2283 2499 3044 3332 4284 4566 4998 5327 6849 7497 9132 9996 10654 12937 13698 14994 15981 21308 25874 27396 29988 31962 37289 38811 47943 51748 63924 74578 77622 90559 95886 111867 116433 149156 155244 181118 191772 223734 232866 271677 335601 362236 447468 465732 543354 633913 671202 815031 1086708 1267826 1342404 1630062 1901739 2535652 3260124 3803478 5705217 7606956 11410434 22820868