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22338814640 = 24517124913151
BaseRepresentation
bin10100110011011111…
…110100001010110000
32010122211102100210012
4110303133310022300
5331222214032030
614132354154052
71420401535322
oct246337641260
963584370705
1022338814640
11952375108a
1243b5282928
1321500bcc1c
14111cb79612
158ab258095
hex5337f42b0

22338814640 has 80 divisors (see below), whose sum is σ = 55041120000. Its totient is φ = 8402534400.

The previous prime is 22338814621. The next prime is 22338814651. The reversal of 22338814640 is 4641883322.

It is a tau number, because it is divible by the number of its divisors (80).

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, 1692065 + ... + 1705215.

It is an arithmetic number, because the mean of its divisors is an integer number (688014000).

Almost surely, 222338814640 is an apocalyptic number.

22338814640 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 22338814640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27520560000).

22338814640 is an abundant number, since it is smaller than the sum of its proper divisors (32702305360).

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

22338814640 is a wasteful number, since it uses less digits than its factorization.

22338814640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14430 (or 14424 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 41.

The spelling of 22338814640 in words is "twenty-two billion, three hundred thirty-eight million, eight hundred fourteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1249 1360 2498 4996 6245 9992 12490 13151 19984 21233 24980 26302 42466 49960 52604 65755 84932 99920 105208 106165 131510 169864 210416 212330 223567 263020 339728 424660 447134 526040 849320 894268 1052080 1117835 1698640 1788536 2235670 3577072 4471340 8942680 16425599 17885360 32851198 65702396 82127995 131404792 164255990 262809584 279235183 328511980 558470366 657023960 1116940732 1314047920 1396175915 2233881464 2792351830 4467762928 5584703660 11169407320 22338814640