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22501304640 = 263257812953
BaseRepresentation
bin10100111101001011…
…101010100101000000
32011002011011201011100
4110331023222211000
5332040313222030
614200441014400
71424413635153
oct247513524500
964064151140
1022501304640
1195a7444241
12443b784400
132177972b59
141136595c9a
158ba653360
hex53d2ea940

22501304640 has 84 divisors (see below), whose sum is σ = 77395122324. Its totient is φ = 6000347136.

The previous prime is 22501304627. The next prime is 22501304641. The reversal of 22501304640 is 4640310522.

22501304640 is a `hidden beast` number, since 2 + 2 + 5 + 0 + 13 + 0 + 4 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17114918976 + 5386385664 = 130824^2 + 73392^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22501304641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3903597 + ... + 3909356.

Almost surely, 222501304640 is an apocalyptic number.

22501304640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22501304640 is an abundant number, since it is smaller than the sum of its proper divisors (54893817684).

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

22501304640 is a wasteful number, since it uses less digits than its factorization.

22501304640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7812976 (or 7812963 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 22501304640 in words is "twenty-two billion, five hundred one million, three hundred four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 7812953 15625906 23438859 31251812 39064765 46877718 62503624 70316577 78129530 93755436 117194295 125007248 140633154 156259060 187510872 234388590 250014496 281266308 312518120 351582885 375021744 468777180 500028992 562532616 625036240 703165770 750043488 937554360 1125065232 1250072480 1406331540 1500086976 1875108720 2250130464 2500144960 2812663080 3750217440 4500260928 5625326160 7500434880 11250652320 22501304640