| Base | Representation |
|---|---|
| bin | 1000110111100011100… |
| … | …1010010101110101000 |
| 3 | 112120020200102121122021 |
| 4 | 2031320321102232220 |
| 5 | 4444004121441300 |
| 6 | 153553431034224 |
| 7 | 14002266552601 |
| oct | 2157071225650 |
| 9 | 476220377567 |
| 10 | 152352140200 |
| 11 | 596808a1977 |
| 12 | 2563a50b974 |
| 13 | 1149c97bbb0 |
| 14 | 7533d12da8 |
| 15 | 3e6a34ed1a |
| hex | 2378e52ba8 |
152352140200 has 192 divisors, whose sum is σ = 408454326000. Its totient is φ = 52347863040.
The previous prime is 152352140153. The next prime is 152352140203. The reversal of 152352140200 is 2041253251.
152352140200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 24 ways, for example, as 55933196004 + 96418944196 = 236502^2 + 310514^2 .
It is a super-2 number, since 2×1523521402002 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (25).
It is not an unprimeable number, because it can be changed into a prime (152352140203) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3914436 + ... + 3953164.
Almost surely, 2152352140200 is an apocalyptic number.
152352140200 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 152352140200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204227163000).
152352140200 is an abundant number, since it is smaller than the sum of its proper divisors (256102185800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
152352140200 is a wasteful number, since it uses less digits than its factorization.
152352140200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 38864 (or 38855 counting only the distinct ones).
The product of its (nonzero) digits is 2400, while the sum is 25.
Adding to 152352140200 its reverse (2041253251), we get a palindrome (154393393451).
The spelling of 152352140200 in words is "one hundred fifty-two billion, three hundred fifty-two million, one hundred forty thousand, two hundred".
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