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22040955090 = 233572111759151
BaseRepresentation
bin10100100001101111…
…100100100011010010
32002220001221112022000
4110201233210203102
5330114441030330
614043034054430
71410124012200
oct244157444322
962801845260
1022040955090
1193905a9870
12433157a416
13210349147b
1410d13a2070
1589001d560
hex521be48d2

22040955090 has 768 divisors, whose sum is σ = 80845516800. Its totient is φ = 4209408000.

The previous prime is 22040955071. The next prime is 22040955151. The reversal of 22040955090 is 9055904022.

It is a happy number.

22040955090 is a `hidden beast` number, since 2 + 20 + 40 + 95 + 509 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 145966515 + ... + 145966665.

It is an arithmetic number, because the mean of its divisors is an integer number (105267600).

Almost surely, 222040955090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22040955090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40422758400).

22040955090 is an abundant number, since it is smaller than the sum of its proper divisors (58804561710).

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

22040955090 is a wasteful number, since it uses less digits than its factorization.

22040955090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 22040955090 in words is "twenty-two billion, forty million, nine hundred fifty-five thousand, ninety".