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22117139040 = 253546077373
BaseRepresentation
bin10100100110010010…
…001100001001100000
32010002101022002000210
4110212102030021200
5330243441422130
614054355014120
71412040402633
oct244622141140
963071262023
1022117139040
11941a603a07
124352b9a340
1321161b6929
1410db553c1a
15896a6b5b0
hex52648c260

22117139040 has 48 divisors (see below), whose sum is σ = 69668989488. Its totient is φ = 5897903616.

The previous prime is 22117139003. The next prime is 22117139041. The reversal of 22117139040 is 4093171122.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 22117138989 and 22117139007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22117139041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23038207 + ... + 23039166.

It is an arithmetic number, because the mean of its divisors is an integer number (1451437281).

Almost surely, 222117139040 is an apocalyptic number.

22117139040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22117139040 is an abundant number, since it is smaller than the sum of its proper divisors (47551850448).

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

22117139040 is a wasteful number, since it uses less digits than its factorization.

22117139040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46077391 (or 46077383 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The spelling of 22117139040 in words is "twenty-two billion, one hundred seventeen million, one hundred thirty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 46077373 92154746 138232119 184309492 230386865 276464238 368618984 460773730 552928476 691160595 737237968 921547460 1105856952 1382321190 1474475936 1843094920 2211713904 2764642380 3686189840 4423427808 5529284760 7372379680 11058569520 22117139040