| Base | Representation |
|---|---|
| bin | 10010001001001… |
| … | …11010001110000 |
| 3 | 101121101210012000 |
| 4 | 21010213101300 |
| 5 | 302431020100 |
| 6 | 23034134000 |
| 7 | 3525500415 |
| oct | 1104472160 |
| 9 | 347353160 |
| 10 | 152204400 |
| 11 | 78a08467 |
| 12 | 42b81300 |
| 13 | 256c139a |
| 14 | 1630010c |
| 15 | d567900 |
| hex | 9127470 |
152204400 has 240 divisors, whose sum is σ = 574293600. Its totient is φ = 38154240.
The previous prime is 152204359. The next prime is 152204401. The reversal of 152204400 is 4402251.
152204400 is a `hidden beast` number, since 1 + 5 + 220 + 440 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (240).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (152204401) 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 47 ways as a sum of consecutive naturals, for example, 183186 + ... + 184014.
It is an arithmetic number, because the mean of its divisors is an integer number (2392890).
Almost surely, 2152204400 is an apocalyptic number.
152204400 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 152204400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287146800).
152204400 is an abundant number, since it is smaller than the sum of its proper divisors (422089200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
152204400 is a wasteful number, since it uses less digits than its factorization.
152204400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 873 (or 856 counting only the distinct ones).
The product of its (nonzero) digits is 320, while the sum is 18.
The square root of 152204400 is about 12337.1147356260. The cubic root of 152204400 is about 533.9194424623.
Adding to 152204400 its reverse (4402251), we get a palindrome (156606651).
The spelling of 152204400 in words is "one hundred fifty-two million, two hundred four thousand, four hundred".
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