Search a number
-
+
235002152 = 237111722441
BaseRepresentation
bin11100000000111…
…01100100101000
3121101012100100102
432000131210220
5440130032102
635152524532
75552325320
oct1600354450
9541170312
10235002152
1111071a660
1266850748
13398c1038
14232d4280
1515970402
hexe01d928

235002152 has 64 divisors (see below), whose sum is σ = 581696640. Its totient is φ = 86169600.

The previous prime is 235002139. The next prime is 235002161. The reversal of 235002152 is 251200532.

It is a super-2 number, since 2×2350021522 = 110452022889262208, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 749 + ... + 21692.

It is an arithmetic number, because the mean of its divisors is an integer number (9089010).

Almost surely, 2235002152 is an apocalyptic number.

235002152 is a gapful number since it is divisible by the number (22) 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 235002152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290848320).

235002152 is an abundant number, since it is smaller than the sum of its proper divisors (346694488).

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

235002152 is a wasteful number, since it uses less digits than its factorization.

235002152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22482 (or 22478 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 235002152 is about 15329.7799070959. The cubic root of 235002152 is about 617.1024629605.

Adding to 235002152 its reverse (251200532), we get a palindrome (486202684).

It can be divided in two parts, 23500 and 2152, that added together give a palindrome (25652).

The spelling of 235002152 in words is "two hundred thirty-five million, two thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 17 22 28 34 44 56 68 77 88 119 136 154 187 238 308 374 476 616 748 952 1309 1496 2618 5236 10472 22441 44882 89764 157087 179528 246851 314174 381497 493702 628348 762994 987404 1256696 1525988 1727957 1974808 2670479 3051976 3455914 4196467 5340958 6911828 8392934 10681916 13823656 16785868 21363832 29375269 33571736 58750538 117501076 235002152