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22640640 = 211351167
BaseRepresentation
bin101011001011…
…1100000000000
31120121021010020
41112113200000
521244000030
62125133440
7363304461
oct126274000
946537106
1022640640
1111864280
1276ba280
1348c9339
143014d68
151ec3510
hex1597800

22640640 has 192 divisors, whose sum is σ = 80196480. Its totient is φ = 5406720.

The previous prime is 22640603. The next prime is 22640641. The reversal of 22640640 is 4604622.

It is a tau number, because it is divible by the number of its divisors (192).

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 22640640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22640641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 337887 + ... + 337953.

It is an arithmetic number, because the mean of its divisors is an integer number (417690).

Almost surely, 222640640 is an apocalyptic number.

22640640 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 22640640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40098240).

22640640 is an abundant number, since it is smaller than the sum of its proper divisors (57555840).

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

22640640 is a wasteful number, since it uses less digits than its factorization.

22640640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 88 counting only the distinct ones).

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

The square root of 22640640 is about 4758.2181538891. The cubic root of 22640640 is about 282.8977975876.

The spelling of 22640640 in words is "twenty-two million, six hundred forty thousand, six hundred forty".