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22664294640 = 24335131495417
BaseRepresentation
bin10101000110111001…
…011011000011110000
32011111111212110102000
4111012321123003300
5332404024412030
614224542254000
71431433216521
oct250671330360
964444773360
1022664294640
119680449019
124486287300
1321a266c540
1411500a2848
158c9aeb860
hex546e5b0f0

22664294640 has 320 divisors, whose sum is σ = 84650832000. Its totient is φ = 5540438016.

The previous prime is 22664294623. The next prime is 22664294641. The reversal of 22664294640 is 4649246622.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22664294641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4181212 + ... + 4186628.

It is an arithmetic number, because the mean of its divisors is an integer number (264533850).

Almost surely, 222664294640 is an apocalyptic number.

22664294640 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 22664294640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42325416000).

22664294640 is an abundant number, since it is smaller than the sum of its proper divisors (61986537360).

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

22664294640 is a wasteful number, since it uses less digits than its factorization.

22664294640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5601 (or 5589 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 22664294640 in words is "twenty-two billion, six hundred sixty-four million, two hundred ninety-four thousand, six hundred forty".