Search a number
-
+
233122945 = 51131731873
BaseRepresentation
bin11011110010100…
…10110010000001
3121020122212120011
431321102302001
5434134413240
635044344521
75530340506
oct1571226201
9536585504
10233122945
1110a6567a0
12660a5141
13393b3893
1422d654ad
15156ed6ea
hexde52c81

233122945 has 32 divisors (see below), whose sum is σ = 319509504. Its totient is φ = 161740800.

The previous prime is 233122943. The next prime is 233122957. The reversal of 233122945 is 549221332.

It is not a de Polignac number, because 233122945 - 21 = 233122943 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (233122943) 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 31 ways as a sum of consecutive naturals, for example, 123529 + ... + 125401.

It is an arithmetic number, because the mean of its divisors is an integer number (9984672).

Almost surely, 2233122945 is an apocalyptic number.

It is an amenable number.

233122945 is a deficient number, since it is larger than the sum of its proper divisors (86386559).

233122945 is a wasteful number, since it uses less digits than its factorization.

233122945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1993.

The product of its digits is 12960, while the sum is 31.

The square root of 233122945 is about 15268.3641887401. The cubic root of 233122945 is about 615.4531615012.

The spelling of 233122945 in words is "two hundred thirty-three million, one hundred twenty-two thousand, nine hundred forty-five".

Divisors: 1 5 11 31 55 73 155 341 365 803 1705 1873 2263 4015 9365 11315 20603 24893 58063 103015 124465 136729 290315 638693 683645 1504019 3193465 4238599 7520095 21192995 46624589 233122945