Search a number
-
+
233133132 = 22347940559
BaseRepresentation
bin11011110010101…
…01010001001100
3121020200101112110
431321111101030
5434140230012
635044504020
75530412301
oct1571252114
9536611473
10233133132
1110a663411
12660ab010
13393b83cb
1422d690a8
151570173c
hexde5544c

233133132 has 24 divisors (see below), whose sum is σ = 545126400. Its totient is φ = 77546896.

The previous prime is 233133127. The next prime is 233133137. The reversal of 233133132 is 231331332.

233133132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (233133127) and next prime (233133137).

It is a super-2 number, since 2×2331331322 = 108702114472258848, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 233133099 and 233133108.

It is not an unprimeable number, because it can be changed into a prime (233133137) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14532 + ... + 26027.

It is an arithmetic number, because the mean of its divisors is an integer number (22713600).

Almost surely, 2233133132 is an apocalyptic number.

It is an amenable number.

233133132 is an abundant number, since it is smaller than the sum of its proper divisors (311993268).

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

233133132 is a wasteful number, since it uses less digits than its factorization.

233133132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41045 (or 41043 counting only the distinct ones).

The product of its digits is 972, while the sum is 21.

The square root of 233133132 is about 15268.6977833737. The cubic root of 233133132 is about 615.4621260557.

Adding to 233133132 its reverse (231331332), we get a palindrome (464464464).

The spelling of 233133132 in words is "two hundred thirty-three million, one hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 479 958 1437 1916 2874 5748 40559 81118 121677 162236 243354 486708 19427761 38855522 58283283 77711044 116566566 233133132