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232148007 = 327131372069
BaseRepresentation
bin11011101011001…
…00110000100111
3121011211100012100
431311210300213
5433412214012
635011423143
75516140230
oct1565446047
9534740170
10232148007
1110a050263
12658b4ab3
1339131bb0
1422b90087
15155a98dc
hexdd64c27

232148007 has 48 divisors (see below), whose sum is σ = 415920960. Its totient is φ = 121499136.

The previous prime is 232147973. The next prime is 232148047. The reversal of 232148007 is 700841232.

It is not a de Polignac number, because 232148007 - 26 = 232147943 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232148047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111169 + ... + 113237.

It is an arithmetic number, because the mean of its divisors is an integer number (8665020).

Almost surely, 2232148007 is an apocalyptic number.

232148007 is a deficient number, since it is larger than the sum of its proper divisors (183772953).

232148007 is a wasteful number, since it uses less digits than its factorization.

232148007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2232 (or 2229 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 232148007 is about 15236.4040048825. The cubic root of 232148007 is about 614.5940052900.

Adding to 232148007 its reverse (700841232), we get a palindrome (932989239).

The spelling of 232148007 in words is "two hundred thirty-two million, one hundred forty-eight thousand, seven".

Divisors: 1 3 7 9 13 21 39 63 91 117 137 273 411 819 959 1233 1781 2069 2877 5343 6207 8631 12467 14483 16029 18621 26897 37401 43449 80691 112203 130347 188279 242073 283453 564837 850359 1694511 1984171 2551077 3684889 5952513 11054667 17857539 25794223 33164001 77382669 232148007