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22922640 = 24325133179
BaseRepresentation
bin101011101110…
…0010110010000
31121010120221200
41113130112100
521332011030
62135151200
7365560566
oct127342620
947116850
1022922640
1111a37134
127815500
1349977c0
143089a36
15202bd60
hex15dc590

22922640 has 240 divisors, whose sum is σ = 86661120. Its totient is φ = 5391360.

The previous prime is 22922639. The next prime is 22922677. The reversal of 22922640 is 4622922.

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

It is a congruent number.

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, 290121 + ... + 290199.

It is an arithmetic number, because the mean of its divisors is an integer number (361088).

Almost surely, 222922640 is an apocalyptic number.

22922640 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 22922640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43330560).

22922640 is an abundant number, since it is smaller than the sum of its proper divisors (63738480).

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

22922640 is a wasteful number, since it uses less digits than its factorization.

22922640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 22922640 is about 4787.7593924507. The cubic root of 22922640 is about 284.0674970166.

The spelling of 22922640 in words is "twenty-two million, nine hundred twenty-two thousand, six hundred forty".