| Base | Representation |
|---|---|
| bin | 11001100110100… |
| … | …10110011100000 |
| 3 | 112222010121010002 |
| 4 | 30303102303200 |
| 5 | 414440213320 |
| 6 | 33151155132 |
| 7 | 5215353143 |
| oct | 1463226340 |
| 9 | 488117102 |
| 10 | 214772960 |
| 11 | 100263116 |
| 12 | 5bb15aa8 |
| 13 | 3565a4bc |
| 14 | 2074a05a |
| 15 | 13cc6675 |
| hex | ccd2ce0 |
214772960 has 192 divisors, whose sum is σ = 574801920. Its totient is φ = 75479040.
The previous prime is 214772953. The next prime is 214772969. The reversal of 214772960 is 69277412.
214772960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×2147729602 = 92254848694323200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (38).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (214772969) by changing a digit.
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 31 ways as a sum of consecutive naturals, for example, 4052294 + ... + 4052346.
It is an arithmetic number, because the mean of its divisors is an integer number (2993760).
Almost surely, 2214772960 is an apocalyptic number.
214772960 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 214772960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287400960).
214772960 is an abundant number, since it is smaller than the sum of its proper divisors (360028960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
214772960 is a wasteful number, since it uses less digits than its factorization.
214772960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 161 (or 153 counting only the distinct ones).
The product of its (nonzero) digits is 42336, while the sum is 38.
The square root of 214772960 is about 14655.1342539057. The cubic root of 214772960 is about 598.8616936486.
The spelling of 214772960 in words is "two hundred fourteen million, seven hundred seventy-two thousand, nine hundred sixty".
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