| Base | Representation |
|---|---|
| bin | 1100000000100101… |
| … | …0011100000000000 |
| 3 | 22022122220010112200 |
| 4 | 3000021103200000 |
| 5 | 23100224232030 |
| 6 | 1251514153200 |
| 7 | 142612461120 |
| oct | 30011234000 |
| 9 | 8278803480 |
| 10 | 3223664640 |
| 11 | 1404746a59 |
| 12 | 75b722800 |
| 13 | 3c4b35c91 |
| 14 | 2281c8c80 |
| 15 | 13d024d60 |
| hex | c0253800 |
3223664640 has 576 divisors, whose sum is σ = 13491878400. Its totient is φ = 695402496.
The previous prime is 3223664573. The next prime is 3223664651. The reversal of 3223664640 is 464663223.
3223664640 is a `hidden beast` number, since 3 + 2 + 2 + 3 + 6 + 6 + 4 + 640 = 666.
It is a tau number, because it is divible by the number of its divisors (576).
It is a super-2 number, since 2×32236646402 = 20784027422372659200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 3223664595 and 3223664604.
It is a congruent number.
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, 12257149 + ... + 12257411.
It is an arithmetic number, because the mean of its divisors is an integer number (23423400).
Almost surely, 23223664640 is an apocalyptic number.
3223664640 is a gapful number since it is divisible by the number (30) 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 3223664640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6745939200).
3223664640 is an abundant number, since it is smaller than the sum of its proper divisors (10268213760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3223664640 is a wasteful number, since it uses less digits than its factorization.
3223664640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 322 (or 299 counting only the distinct ones).
The product of its (nonzero) digits is 124416, while the sum is 36.
The square root of 3223664640 is about 56777.3250514675. The cubic root of 3223664640 is about 1477.2362348772.
The spelling of 3223664640 in words is "three billion, two hundred twenty-three million, six hundred sixty-four thousand, six hundred forty".
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