Search a number
-
+
233220393 = 32735310487
BaseRepresentation
bin11011110011010…
…10100100101001
3121020211211020100
431321222210221
5434201023033
635050420013
75531224560
oct1571524451
9536754210
10233220393
1110a712a2a
1266131609
1339419043
1422d8cbd7
151571c513
hexde6a929

233220393 has 24 divisors (see below), whose sum is σ = 386126208. Its totient is φ = 132878592.

The previous prime is 233220371. The next prime is 233220419. The reversal of 233220393 is 393022332.

It is a happy number.

It is not a de Polignac number, because 233220393 - 29 = 233219881 is a prime.

It is a super-2 number, since 2×2332203932 = 108783503422148898, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (233220293) 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, 16996 + ... + 27482.

It is an arithmetic number, because the mean of its divisors is an integer number (16088592).

Almost surely, 2233220393 is an apocalyptic number.

It is an amenable number.

233220393 is a deficient number, since it is larger than the sum of its proper divisors (152905815).

233220393 is a wasteful number, since it uses less digits than its factorization.

233220393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10853 (or 10850 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

The square root of 233220393 is about 15271.5550288764. Note that the first 3 decimals coincide. The cubic root of 233220393 is about 615.5389049915.

The spelling of 233220393 in words is "two hundred thirty-three million, two hundred twenty thousand, three hundred ninety-three".

Divisors: 1 3 7 9 21 63 353 1059 2471 3177 7413 10487 22239 31461 73409 94383 220227 660681 3701911 11105733 25913377 33317199 77740131 233220393