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231640440 = 23354767613
BaseRepresentation
bin11011100111010…
…00110101111000
3121010212112221120
431303220311320
5433244443230
634552505240
75511624363
oct1563506570
9533775846
10231640440
11109833989
12656ab220
1338cb4b65
1422a9b0da
1515509310
hexdce8d78

231640440 has 128 divisors (see below), whose sum is σ = 721474560. Its totient is φ = 59457024.

The previous prime is 231640439. The next prime is 231640471. The reversal of 231640440 is 44046132.

231640440 = T44 + T45 + ... + T1115.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 231640440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 377574 + ... + 378186.

It is an arithmetic number, because the mean of its divisors is an integer number (5636520).

Almost surely, 2231640440 is an apocalyptic number.

231640440 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 231640440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360737280).

231640440 is an abundant number, since it is smaller than the sum of its proper divisors (489834120).

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

231640440 is a wasteful number, since it uses less digits than its factorization.

231640440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 231640440 is about 15219.7384997246. The cubic root of 231640440 is about 614.1457635801.

Adding to 231640440 its reverse (44046132), we get a palindrome (275686572).

The spelling of 231640440 in words is "two hundred thirty-one million, six hundred forty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 67 94 120 134 141 188 201 235 268 282 335 376 402 470 536 564 613 670 705 804 940 1005 1128 1226 1340 1410 1608 1839 1880 2010 2452 2680 2820 3065 3149 3678 4020 4904 5640 6130 6298 7356 8040 9195 9447 12260 12596 14712 15745 18390 18894 24520 25192 28811 31490 36780 37788 41071 47235 57622 62980 73560 75576 82142 86433 94470 115244 123213 125960 144055 164284 172866 188940 205355 230488 246426 288110 328568 345732 377880 410710 432165 492852 576220 616065 691464 821420 864330 985704 1152440 1232130 1642840 1728660 1930337 2464260 3457320 3860674 4928520 5791011 7721348 9651685 11582022 15442696 19303370 23164044 28955055 38606740 46328088 57910110 77213480 115820220 231640440