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22064640 = 293513217
BaseRepresentation
bin101010000101…
…0111000000000
31112111222222220
41110022320000
521122032030
62104531040
7355355253
oct124127000
945458886
1022064640
1111500544
127480a80
134757100
142d0509a
151e0ca10
hex150ae00

22064640 has 240 divisors, whose sum is σ = 80874288. Its totient is φ = 5111808.

The previous prime is 22064639. The next prime is 22064671. The reversal of 22064640 is 4646022.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 22064640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1297912 + ... + 1297928.

Almost surely, 222064640 is an apocalyptic number.

22064640 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 22064640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40437144).

22064640 is an abundant number, since it is smaller than the sum of its proper divisors (58809648).

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

22064640 is a wasteful number, since it uses less digits than its factorization.

22064640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 22064640 is about 4697.3013529047. The cubic root of 22064640 is about 280.4780947621.

The spelling of 22064640 in words is "twenty-two million, sixty-four thousand, six hundred forty".