| Base | Representation |
|---|---|
| bin | 100101101111100… |
| … | …010110010000000 |
| 3 | 1122010111220211220 |
| 4 | 211233202302000 |
| 5 | 2244101021344 |
| 6 | 142500035040 |
| 7 | 21456166050 |
| oct | 4557426200 |
| 9 | 1563456756 |
| 10 | 633220224 |
| 11 | 2a54887aa |
| 12 | 158092a80 |
| 13 | a125a530 |
| 14 | 60153560 |
| 15 | 3a8d0c19 |
| hex | 25be2c80 |
633220224 has 128 divisors (see below), whose sum is σ = 2070257280. Its totient is φ = 166993920.
The previous prime is 633220169. The next prime is 633220241. The reversal of 633220224 is 422022336.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (128).
It is a super-2 number, since 2×6332202242 = 801935704165220352, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a junction number, because it is equal to n+sod(n) for n = 633220194 and 633220203.
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 15 ways as a sum of consecutive naturals, for example, 25884 + ... + 44004.
It is an arithmetic number, because the mean of its divisors is an integer number (16173885).
Almost surely, 2633220224 is an apocalyptic number.
633220224 is a gapful number since it is divisible by the number (64) 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 633220224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035128640).
633220224 is an abundant number, since it is smaller than the sum of its proper divisors (1437037056).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
633220224 is a wasteful number, since it uses less digits than its factorization.
633220224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 18158 (or 18146 counting only the distinct ones).
The product of its (nonzero) digits is 3456, while the sum is 24.
The square root of 633220224 is about 25163.8674293122. The cubic root of 633220224 is about 858.7200284898.
The spelling of 633220224 in words is "six hundred thirty-three million, two hundred twenty thousand, two hundred twenty-four".
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