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22465496640 = 2635193167593
BaseRepresentation
bin10100111011000011…
…000100011001000000
32010222122210110211010
4110323003010121000
5332002131343030
614153121320520
71423500366516
oct247303043100
963878713733
1022465496640
119589207154
12442b796140
1321704163a2
1411319144b6
158b742d6b0
hex53b0c4640

22465496640 has 448 divisors, whose sum is σ = 78793482240. Its totient is φ = 5401313280.

The previous prime is 22465496597. The next prime is 22465496689. The reversal of 22465496640 is 4669456422.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 22465496640.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37884184 + ... + 37884776.

Almost surely, 222465496640 is an apocalyptic number.

22465496640 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 22465496640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39396741120).

22465496640 is an abundant number, since it is smaller than the sum of its proper divisors (56327985600).

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

22465496640 is a wasteful number, since it uses less digits than its factorization.

22465496640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 48.

The spelling of 22465496640 in words is "twenty-two billion, four hundred sixty-five million, four hundred ninety-six thousand, six hundred forty".