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235306136 = 23132269647
BaseRepresentation
bin11100000011001…
…11110010011000
3121101202210100002
432001213302120
5440214244021
635203232132
75555032502
oct1601476230
9541683302
10235306136
11110907a8a
1266978648
1339999500
1423372d72
15159d050b
hexe067c98

235306136 has 48 divisors (see below), whose sum is σ = 480265200. Its totient is φ = 108031872.

The previous prime is 235306133. The next prime is 235306139. The reversal of 235306136 is 631603532.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (235306133) and next prime (235306139).

It is a junction number, because it is equal to n+sod(n) for n = 235306099 and 235306108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235306133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 363365 + ... + 364011.

It is an arithmetic number, because the mean of its divisors is an integer number (10005525).

Almost surely, 2235306136 is an apocalyptic number.

235306136 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 235306136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240132600).

235306136 is an abundant number, since it is smaller than the sum of its proper divisors (244959064).

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

235306136 is a wasteful number, since it uses less digits than its factorization.

235306136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 29.

The square root of 235306136 is about 15339.6915223221. The cubic root of 235306136 is about 617.3684299556.

Adding to 235306136 its reverse (631603532), we get a palindrome (866909668).

The spelling of 235306136 in words is "two hundred thirty-five million, three hundred six thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 26 52 104 169 269 338 538 647 676 1076 1294 1352 2152 2588 3497 5176 6994 8411 13988 16822 27976 33644 45461 67288 90922 109343 174043 181844 218686 348086 363688 437372 696172 874744 1392344 2262559 4525118 9050236 18100472 29413267 58826534 117653068 235306136