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231313140 = 223254193067
BaseRepresentation
bin11011100100110…
…00111011110100
3121010020220222100
431302120323310
5433204010030
634541502100
75506062222
oct1562307364
9533226870
10231313140
1110962aa93
1265571930
1338bcbba6
1422a13b12
1515492360
hexdc98ef4

231313140 has 72 divisors (see below), whose sum is σ = 703553760. Its totient is φ = 61516224.

The previous prime is 231313123. The next prime is 231313153. The reversal of 231313140 is 41313132.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73887 + ... + 76953.

It is an arithmetic number, because the mean of its divisors is an integer number (9771580).

Almost surely, 2231313140 is an apocalyptic number.

231313140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231313140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351776880).

231313140 is an abundant number, since it is smaller than the sum of its proper divisors (472240620).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

231313140 is a wasteful number, since it uses less digits than its factorization.

231313140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3501 (or 3496 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 231313140 is about 15208.9822144679. The cubic root of 231313140 is about 613.8563716009.

Adding to 231313140 its reverse (41313132), we get a palindrome (272626272).

The spelling of 231313140 in words is "two hundred thirty-one million, three hundred thirteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 419 838 1257 1676 2095 2514 3067 3771 4190 5028 6134 6285 7542 8380 9201 12268 12570 15084 15335 18402 18855 25140 27603 30670 36804 37710 46005 55206 61340 75420 92010 110412 138015 184020 276030 552060 1285073 2570146 3855219 5140292 6425365 7710438 11565657 12850730 15420876 19276095 23131314 25701460 38552190 46262628 57828285 77104380 115656570 231313140