| Base | Representation |
|---|---|
| bin | 1010010111100101111100… |
| … | …10110001000111110100000 |
| 3 | 2222201202001112002202000000 |
| 4 | 11023302332112020332200 |
| 5 | 10442032200222212034 |
| 6 | 120254325110300000 |
| 7 | 4542211026141030 |
| oct | 513627626107640 |
| 9 | 88652045082000 |
| 10 | 22800879882144 |
| 11 | 72a0887304041 |
| 12 | 2682b68657600 |
| 13 | c95162b961a0 |
| 14 | 58b7d5c738c0 |
| 15 | 29818350b599 |
| hex | 14bcbe588fa0 |
22800879882144 has 672 divisors, whose sum is σ = 84071396384640. Its totient is φ = 5923629398016.
The previous prime is 22800879882107. The next prime is 22800879882149. The reversal of 22800879882144 is 44128897800822.
It is a tau number, because it is divible by the number of its divisors (672).
It is a super-4 number, since 4×228008798821444 (a number of 55 digits) contains 4444 as substring.
It is a Harshad number since it is a multiple of its sum of digits (63).
It is not an unprimeable number, because it can be changed into a prime (22800879882149) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 142150662 + ... + 142310970.
It is an arithmetic number, because the mean of its divisors is an integer number (125106244620).
Almost surely, 222800879882144 is an apocalyptic number.
22800879882144 is a gapful number since it is divisible by the number (24) 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 22800879882144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42035698192320).
22800879882144 is an abundant number, since it is smaller than the sum of its proper divisors (61270516502496).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22800879882144 is a wasteful number, since it uses less digits than its factorization.
22800879882144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 160424 (or 160401 counting only the distinct ones).
The product of its (nonzero) digits is 33030144, while the sum is 63.
The spelling of 22800879882144 in words is "twenty-two trillion, eight hundred billion, eight hundred seventy-nine million, eight hundred eighty-two thousand, one hundred forty-four".
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