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22813812 = 223572479
BaseRepresentation
bin101011100000…
…1110001110100
31120221001200000
41113001301310
521320020222
62132551300
7364625400
oct127016164
946831600
1022813812
111197239a
127782530
13495a0c8
14305c100
1520099ac
hex15c1c74

22813812 has 108 divisors (see below), whose sum is σ = 69713280. Its totient is φ = 6504624.

The previous prime is 22813801. The next prime is 22813829. The reversal of 22813812 is 21831822.

22813812 is a `hidden beast` number, since 2 + 281 + 381 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

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

Its product of digits (1536) is a multiple of the sum of its prime factors (512).

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, 47389 + ... + 47867.

Almost surely, 222813812 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 22813812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34856640).

22813812 is an abundant number, since it is smaller than the sum of its proper divisors (46899468).

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

22813812 is a wasteful number, since it uses less digits than its factorization.

22813812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 491 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 22813812 is about 4776.3806380983. The cubic root of 22813812 is about 283.6172354637.

It can be divided in two parts, 228138 and 12, that added together give a triangular number (228150 = T675).

The spelling of 22813812 in words is "twenty-two million, eight hundred thirteen thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 243 252 294 324 378 441 479 486 567 588 756 882 958 972 1134 1323 1437 1701 1764 1916 2268 2646 2874 3353 3402 3969 4311 5292 5748 6706 6804 7938 8622 10059 11907 12933 13412 15876 17244 20118 23471 23814 25866 30177 38799 40236 46942 47628 51732 60354 70413 77598 90531 93884 116397 120708 140826 155196 181062 211239 232794 271593 281652 362124 422478 465588 543186 633717 814779 844956 1086372 1267434 1629558 1901151 2534868 3259116 3802302 5703453 7604604 11406906 22813812