Search a number
-
+
252206136 = 23347213247
BaseRepresentation
bin11110000100001…
…01110000111000
3122120120101210000
433002011300320
51004031044021
641005353000
76151500600
oct1702056070
9576511700
10252206136
1111a400226
1270568760
1340335900
14256d1c00
151721cb26
hexf085c38

252206136 has 360 divisors, whose sum is σ = 908748720. Its totient is φ = 65100672.

The previous prime is 252206131. The next prime is 252206159. The reversal of 252206136 is 631602252.

252206136 is a `hidden beast` number, since 2 + 522 + 0 + 6 + 136 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252206131) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 5366065 + ... + 5366111.

It is an arithmetic number, because the mean of its divisors is an integer number (2524302).

Almost surely, 2252206136 is an apocalyptic number.

252206136 is a gapful number since it is divisible by the number (26) 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 252206136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454374360).

252206136 is an abundant number, since it is smaller than the sum of its proper divisors (656542584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

252206136 is a wasteful number, since it uses less digits than its factorization.

252206136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 252206136 is about 15880.9992128959. Note that the first 3 decimals coincide. The cubic root of 252206136 is about 631.8081388984.

Adding to 252206136 its reverse (631602252), we get a palindrome (883808388).

The spelling of 252206136 in words is "two hundred fifty-two million, two hundred six thousand, one hundred thirty-six".