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22132540240 = 2451972934793
BaseRepresentation
bin10100100111001100…
…111100001101010000
32010010110021112111121
4110213030330031100
5330311412241430
614100105052024
71412315326246
oct244714741520
963113245447
1022132540240
119428273078
124358187014
132119449a75
1410dd602796
158980aea7a
hex52733c350

22132540240 has 80 divisors (see below), whose sum is σ = 51906709008. Its totient is φ = 8776183808.

The previous prime is 22132540229. The next prime is 22132540327. The reversal of 22132540240 is 4204523122.

It can be written as a sum of positive squares in 8 ways, for example, as 9839052864 + 12293487376 = 99192^2 + 110876^2 .

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

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, 4615284 + ... + 4620076.

Almost surely, 222132540240 is an apocalyptic number.

22132540240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22132540240 is an abundant number, since it is smaller than the sum of its proper divisors (29774168768).

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

22132540240 is a wasteful number, since it uses less digits than its factorization.

22132540240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5296 (or 5290 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The spelling of 22132540240 in words is "twenty-two billion, one hundred thirty-two million, five hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 197 293 394 586 788 985 1172 1465 1576 1970 2344 2930 3152 3940 4688 4793 5860 7880 9586 11720 15760 19172 23440 23965 38344 47930 57721 76688 95860 115442 191720 230884 288605 383440 461768 577210 923536 944221 1154420 1404349 1888442 2308840 2808698 3776884 4617680 4721105 5617396 7021745 7553768 9442210 11234792 14043490 15107536 18884420 22469584 28086980 37768840 56173960 75537680 112347920 276656753 553313506 1106627012 1383283765 2213254024 2766567530 4426508048 5533135060 11066270120 22132540240