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22344040 = 23523149163
BaseRepresentation
bin101010100111…
…1000101101000
31120001012021001
41111033011220
521210002130
62114524344
7360630655
oct125170550
946035231
1022344040
1111681454
1275966b4
134824334
142d78c2c
151e656ca
hex154f168

22344040 has 64 divisors (see below), whose sum is σ = 53136000. Its totient is φ = 8439552.

The previous prime is 22344011. The next prime is 22344053. The reversal of 22344040 is 4044322.

It is a super-2 number, since 2×223440402 = 998512247043200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22343999 and 22344017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136999 + ... + 137161.

It is an arithmetic number, because the mean of its divisors is an integer number (830250).

Almost surely, 222344040 is an apocalyptic number.

22344040 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 22344040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26568000).

22344040 is an abundant number, since it is smaller than the sum of its proper divisors (30791960).

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

22344040 is a wasteful number, since it uses less digits than its factorization.

22344040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 22344040 is about 4726.9482755791. The cubic root of 22344040 is about 281.6570113672.

Adding to 22344040 its reverse (4044322), we get a palindrome (26388362).

The spelling of 22344040 in words is "twenty-two million, three hundred forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 149 163 184 230 298 326 460 596 652 745 815 920 1192 1304 1490 1630 2980 3260 3427 3749 5960 6520 6854 7498 13708 14996 17135 18745 24287 27416 29992 34270 37490 48574 68540 74980 97148 121435 137080 149960 194296 242870 485740 558601 971480 1117202 2234404 2793005 4468808 5586010 11172020 22344040