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22315991040 = 21632572347
BaseRepresentation
bin10100110010001000…
…110000000000000000
32010121020110210200200
4110302020300000000
5331200343203130
614130221045200
71420003536240
oct246210600000
963536423620
1022315991040
119511882402
1243a96b6800
13214845b535
141119b17b20
158a924a760
hex532230000

22315991040 has 816 divisors, whose sum is σ = 94220126208. Its totient is φ = 4775215104.

The previous prime is 22315991003. The next prime is 22315991053. The reversal of 22315991040 is 4019951322.

22315991040 is a `hidden beast` number, since 2 + 23 + 1 + 599 + 1 + 0 + 40 = 666.

It is a super-3 number, since 3×223159910403 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22315990986 and 22315991004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 474808297 + ... + 474808343.

Almost surely, 222315991040 is an apocalyptic number.

22315991040 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 22315991040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47110063104).

22315991040 is an abundant number, since it is smaller than the sum of its proper divisors (71904135168).

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

22315991040 is an equidigital number, since it uses as much as digits as its factorization.

22315991040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 22315991040 in words is "twenty-two billion, three hundred fifteen million, nine hundred ninety-one thousand, forty".