Base | Representation |
---|---|
bin | 10101010101001011… |
… | …111010011110110000 |
3 | 2012010012221220211200 |
4 | 111111023322132300 |
5 | 333401412213320 |
6 | 14304424411200 |
7 | 1440403661100 |
oct | 252513723660 |
9 | 65105856750 |
10 | 22904022960 |
11 | 97937a64a5 |
12 | 4532616b00 |
13 | 2210226810 |
14 | 1173c67200 |
15 | 8e0ba2290 |
hex | 5552fa7b0 |
22904022960 has 360 divisors, whose sum is σ = 96362426160. Its totient is φ = 4832400384.
The previous prime is 22904022943. The next prime is 22904022979. The reversal of 22904022960 is 6922040922.
It is a happy number.
22904022960 is a `hidden beast` number, since 229 + 0 + 402 + 29 + 6 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (360).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 433671 + ... + 483609.
It is an arithmetic number, because the mean of its divisors is an integer number (267673406).
Almost surely, 222904022960 is an apocalyptic number.
22904022960 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 22904022960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48181213080).
22904022960 is an abundant number, since it is smaller than the sum of its proper divisors (73458403200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22904022960 is a wasteful number, since it uses less digits than its factorization.
22904022960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 49985 (or 49969 counting only the distinct ones).
The product of its (nonzero) digits is 31104, while the sum is 36.
The spelling of 22904022960 in words is "twenty-two billion, nine hundred four million, twenty-two thousand, nine hundred sixty".
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