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22344868 = 227131723157
BaseRepresentation
bin101010100111…
…1010010100100
31120001020101201
41111033102210
521210013433
62114532244
7360633250
oct125172244
946036351
1022344868
1111682037
127597084
134824820
142d79260
151e65a7d
hex154f4a4

22344868 has 96 divisors (see below), whose sum is σ = 53512704. Its totient is φ = 7907328.

The previous prime is 22344859. The next prime is 22344869. The reversal of 22344868 is 86844322.

It is not an unprimeable number, because it can be changed into a prime (22344869) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142246 + ... + 142402.

It is an arithmetic number, because the mean of its divisors is an integer number (557424).

Almost surely, 222344868 is an apocalyptic number.

22344868 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 22344868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26756352).

22344868 is an abundant number, since it is smaller than the sum of its proper divisors (31167836).

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

22344868 is a wasteful number, since it uses less digits than its factorization.

22344868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 219 counting only the distinct ones).

The product of its digits is 73728, while the sum is 37.

The square root of 22344868 is about 4727.0358577019. The cubic root of 22344868 is about 281.6604904325.

Multiplying 22344868 by its sum of digits (37), we get a triangular number (826760116 = T40663).

The spelling of 22344868 in words is "twenty-two million, three hundred forty-four thousand, eight hundred sixty-eight".

Divisors: 1 2 4 7 13 14 17 23 26 28 34 46 52 68 91 92 119 157 161 182 221 238 299 314 322 364 391 442 476 598 628 644 782 884 1099 1196 1547 1564 2041 2093 2198 2669 2737 3094 3611 4082 4186 4396 5083 5338 5474 6188 7222 8164 8372 10166 10676 10948 14287 14444 18683 20332 25277 28574 34697 35581 37366 46943 50554 57148 61387 69394 71162 74732 93886 101108 122774 138788 142324 187772 242879 245548 328601 429709 485758 657202 798031 859418 971516 1314404 1596062 1718836 3192124 5586217 11172434 22344868