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22483543680 = 273351327699
BaseRepresentation
bin10100111100000111…
…111010011010000000
32011000220202100201000
4110330013322122000
5332021241344210
614155004212000
71424106653013
oct247407723200
964026670630
1022483543680
119598413164
12443583a000
132174094900
14113409137a
158b8ce5ac0
hex53c1fa680

22483543680 has 384 divisors, whose sum is σ = 86236920000. Its totient is φ = 5533691904.

The previous prime is 22483543673. The next prime is 22483543697. The reversal of 22483543680 is 8634538422.

22483543680 is a `hidden beast` number, since 2 + 2 + 48 + 3 + 543 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2916471 + ... + 2924169.

Almost surely, 222483543680 is an apocalyptic number.

22483543680 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 22483543680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43118460000).

22483543680 is an abundant number, since it is smaller than the sum of its proper divisors (63753376320).

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

22483543680 is a wasteful number, since it uses less digits than its factorization.

22483543680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7753 (or 7722 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 22483543680 in words is "twenty-two billion, four hundred eighty-three million, five hundred forty-three thousand, six hundred eighty".