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233113122 = 232117691531
BaseRepresentation
bin11011110010100…
…00011000100010
3121020122101002100
431321100120202
5434134104442
635044231230
75530300044
oct1571203042
9536571070
10233113122
1110a64a380
126609b516
13393ac278
1422d61a94
15156ea84c
hexde50622

233113122 has 48 divisors (see below), whose sum is σ = 552071520. Its totient is φ = 70502400.

The previous prime is 233113117. The next prime is 233113123. The reversal of 233113122 is 221311332.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 = 233113095 and 233113104.

It is not an unprimeable number, because it can be changed into a prime (233113123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151497 + ... + 153027.

It is an arithmetic number, because the mean of its divisors is an integer number (11501490).

Almost surely, 2233113122 is an apocalyptic number.

233113122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

233113122 is an abundant number, since it is smaller than the sum of its proper divisors (318958398).

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

233113122 is a wasteful number, since it uses less digits than its factorization.

233113122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2319 (or 2316 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 233113122 is about 15268.0425071454. The cubic root of 233113122 is about 615.4445170191. Note that the first 3 decimals are identical.

Adding to 233113122 its reverse (221311332), we get a palindrome (454424454).

The spelling of 233113122 in words is "two hundred thirty-three million, one hundred thirteen thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 769 1531 1538 2307 3062 4593 4614 6921 8459 9186 13779 13842 16841 16918 25377 27558 33682 50523 50754 76131 101046 151569 152262 303138 1177339 2354678 3532017 7064034 10596051 12950729 21192102 25901458 38852187 77704374 116556561 233113122