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231137040 = 24354322397
BaseRepresentation
bin11011100011011…
…01111100010000
3121002220222102010
431301231330100
5433132341130
634534022520
75504426631
oct1561557420
9532828363
10231137040
1110951a752
12654a7a40
1338b699a4
14229a9888
151545a0b0
hexdc6df10

231137040 has 80 divisors (see below), whose sum is σ = 733220928. Its totient is φ = 60200448.

The previous prime is 231137029. The next prime is 231137077. The reversal of 231137040 is 40731132.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 231136998 and 231137016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 879 + ... + 21518.

Almost surely, 2231137040 is an apocalyptic number.

231137040 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 231137040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366610464).

231137040 is an abundant number, since it is smaller than the sum of its proper divisors (502083888).

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

231137040 is a wasteful number, since it uses less digits than its factorization.

231137040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22456 (or 22450 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 231137040 is about 15203.1917701514. The cubic root of 231137040 is about 613.7005546118.

Adding to 231137040 its reverse (40731132), we get a palindrome (271868172).

The spelling of 231137040 in words is "two hundred thirty-one million, one hundred thirty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 120 129 172 215 240 258 344 430 516 645 688 860 1032 1290 1720 2064 2580 3440 5160 10320 22397 44794 67191 89588 111985 134382 179176 223970 268764 335955 358352 447940 537528 671910 895880 963071 1075056 1343820 1791760 1926142 2687640 2889213 3852284 4815355 5375280 5778426 7704568 9630710 11556852 14446065 15409136 19261420 23113704 28892130 38522840 46227408 57784260 77045680 115568520 231137040