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231948135 = 32514293607
BaseRepresentation
bin11011101001100…
…11111101100111
3121011110012000200
431310303331213
5433334320020
635003241543
75514345426
oct1564637547
9534405020
10231948135
11109a24081
12658192b3
1339091c23
1422b3b2bd
151556a590
hexdd33f67

231948135 has 24 divisors (see below), whose sum is σ = 402436320. Its totient is φ = 123584832.

The previous prime is 231948133. The next prime is 231948161. The reversal of 231948135 is 531849132.

It is not a de Polignac number, because 231948135 - 21 = 231948133 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 231948135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231948131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62502 + ... + 66108.

It is an arithmetic number, because the mean of its divisors is an integer number (16768180).

Almost surely, 2231948135 is an apocalyptic number.

231948135 is a deficient number, since it is larger than the sum of its proper divisors (170488185).

231948135 is a wasteful number, since it uses less digits than its factorization.

231948135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5047 (or 5044 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 231948135 is about 15229.8435645282. The cubic root of 231948135 is about 614.4175727269.

It can be divided in two parts, 23194 and 8135, that added together give a square (31329 = 1772).

The spelling of 231948135 in words is "two hundred thirty-one million, nine hundred forty-eight thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 45 1429 3607 4287 7145 10821 12861 18035 21435 32463 54105 64305 162315 5154403 15463209 25772015 46389627 77316045 231948135