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232961993 = 1131838231
BaseRepresentation
bin11011110001010…
…11011111001001
3121020100200202222
431320223133021
5434114240433
635041103425
75526100325
oct1570533711
9536320688
10232961993
1110a556880
1266027b75
1339358544
1422d22985
15156bab98
hexde2b7c9

232961993 has 16 divisors (see below), whose sum is σ = 265531392. Its totient is φ = 202458000.

The previous prime is 232961987. The next prime is 232962007. The reversal of 232961993 is 399169232.

It is a cyclic number.

It is not a de Polignac number, because 232961993 - 28 = 232961737 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (232961923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24188 + ... + 32418.

It is an arithmetic number, because the mean of its divisors is an integer number (16595712).

Almost surely, 2232961993 is an apocalyptic number.

It is an amenable number.

232961993 is a deficient number, since it is larger than the sum of its proper divisors (32569399).

232961993 is a wasteful number, since it uses less digits than its factorization.

232961993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8356.

The product of its digits is 157464, while the sum is 44.

The square root of 232961993 is about 15263.0925110215. The cubic root of 232961993 is about 615.3114891557.

The spelling of 232961993 in words is "two hundred thirty-two million, nine hundred sixty-one thousand, nine hundred ninety-three".

Divisors: 1 11 31 83 341 913 2573 8231 28303 90541 255161 683173 2806771 7514903 21178363 232961993