| Base | Representation |
|---|---|
| bin | 10010001001010… |
| … | …01111010100000 |
| 3 | 101121102100000000 |
| 4 | 21010221322200 |
| 5 | 302431341300 |
| 6 | 23034300000 |
| 7 | 3525544044 |
| oct | 1104517240 |
| 9 | 347370000 |
| 10 | 152215200 |
| 11 | 78a15595 |
| 12 | 42b87600 |
| 13 | 256c6287 |
| 14 | 16304024 |
| 15 | d56ac00 |
| hex | 9129ea0 |
152215200 has 324 divisors, whose sum is σ = 576584190. Its totient is φ = 39191040.
The previous prime is 152215169. The next prime is 152215207. The reversal of 152215200 is 2512251.
It can be written as a sum of positive squares in 3 ways, for example, as 114318864 + 37896336 = 10692^2 + 6156^2 .
It is a tau number, because it is divible by the number of its divisors (324).
It is a super-2 number, since 2×1522152002 = 46338934222080000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (152215207) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 5248786 + ... + 5248814.
Almost surely, 2152215200 is an apocalyptic number.
152215200 is a gapful number since it is divisible by the number (10) 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 152215200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288292095).
152215200 is an abundant number, since it is smaller than the sum of its proper divisors (424368990).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
152215200 is an frugal number, since it uses more digits than its factorization.
152215200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 73 (or 39 counting only the distinct ones).
The product of its (nonzero) digits is 200, while the sum is 18.
The square root of 152215200 is about 12337.5524314995. The cubic root of 152215200 is about 533.9320706421.
Adding to 152215200 its reverse (2512251), we get a palindrome (154727451).
The spelling of 152215200 in words is "one hundred fifty-two million, two hundred fifteen thousand, two hundred".
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