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233226133 = 7237197653
BaseRepresentation
bin11011110011010…
…11111110010101
3121020212010002221
431321223332111
5434201214013
635050502341
75531250400
oct1571537625
9536763087
10233226133
1110a717278
12661349b1
133941b83a
1422d90d37
151571e08d
hexde6bf95

233226133 has 24 divisors (see below), whose sum is σ = 280479672. Its totient is φ = 193221504.

The previous prime is 233226127. The next prime is 233226137. The reversal of 233226133 is 331622332.

It can be written as a sum of positive squares in 4 ways, for example, as 120165444 + 113060689 = 10962^2 + 10633^2 .

It is not a de Polignac number, because 233226133 - 29 = 233225621 is a prime.

It is a super-2 number, since 2×2332261332 = 108788858228267378, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 233226098 and 233226107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233226137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 356835 + ... + 357487.

It is an arithmetic number, because the mean of its divisors is an integer number (11686653).

Almost surely, 2233226133 is an apocalyptic number.

It is an amenable number.

233226133 is a deficient number, since it is larger than the sum of its proper divisors (47253539).

233226133 is a wasteful number, since it uses less digits than its factorization.

233226133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 894 counting only the distinct ones).

The product of its digits is 3888, while the sum is 25.

The square root of 233226133 is about 15271.7429588112. The cubic root of 233226133 is about 615.5439548133.

Adding to 233226133 its reverse (331622332), we get a palindrome (564848465).

The spelling of 233226133 in words is "two hundred thirty-three million, two hundred twenty-six thousand, one hundred thirty-three".

Divisors: 1 7 37 49 197 259 653 1379 1813 4571 7289 9653 24161 31997 51023 128641 169127 357161 900487 1183889 4759717 6303409 33318019 233226133