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232123941 = 3375323173
BaseRepresentation
bin11011101010111…
…10111000100101
3121011210010012000
431311132320211
5433410431231
635011115513
75516010120
oct1565367045
9534703160
10232123941
1110a034175
12658a2b99
1339123c5a
1422b853b7
15155a26e6
hexdd5ee25

232123941 has 32 divisors (see below), whose sum is σ = 400446720. Its totient is φ = 130133952.

The previous prime is 232123909. The next prime is 232123949. The reversal of 232123941 is 149321232.

It is a happy number.

It is not a de Polignac number, because 232123941 - 25 = 232123909 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232123949) 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 31 ways as a sum of consecutive naturals, for example, 1570 + ... + 21603.

It is an arithmetic number, because the mean of its divisors is an integer number (12513960).

Almost surely, 2232123941 is an apocalyptic number.

232123941 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

232123941 is a deficient number, since it is larger than the sum of its proper divisors (168322779).

232123941 is a wasteful number, since it uses less digits than its factorization.

232123941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23242 (or 23236 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 232123941 is about 15235.6142311362. The cubic root of 232123941 is about 614.5727669277.

It can be divided in two parts, 2321 and 23941, that added together give a palindrome (26262).

The spelling of 232123941 in words is "two hundred thirty-two million, one hundred twenty-three thousand, nine hundred forty-one".

Divisors: 1 3 7 9 21 27 53 63 159 189 371 477 1113 1431 3339 10017 23173 69519 162211 208557 486633 625671 1228169 1459899 3684507 4379697 8597183 11053521 25791549 33160563 77374647 232123941