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231312240 = 24335107089
BaseRepresentation
bin11011100100110…
…00101101110000
3121010020212202000
431302120231300
5433203442430
634541454000
75506056465
oct1562305560
9533225660
10231312240
1110962a345
1265571300
1338bcb663
1422a1366c
1515491e60
hexdc98b70

231312240 has 80 divisors (see below), whose sum is σ = 796749600. Its totient is φ = 61682688.

The previous prime is 231312233. The next prime is 231312247. The reversal of 231312240 is 42213132.

231312240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (231312233) and next prime (231312247).

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231312247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51385 + ... + 55704.

It is an arithmetic number, because the mean of its divisors is an integer number (9959370).

Almost surely, 2231312240 is an apocalyptic number.

231312240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231312240 is an abundant number, since it is smaller than the sum of its proper divisors (565437360).

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

231312240 is a wasteful number, since it uses less digits than its factorization.

231312240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107111 (or 107099 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 231312240 is about 15208.9526266604. The cubic root of 231312240 is about 613.8555754630.

Adding to 231312240 its reverse (42213132), we get a palindrome (273525372).

The spelling of 231312240 in words is "two hundred thirty-one million, three hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 107089 214178 321267 428356 535445 642534 856712 963801 1070890 1285068 1606335 1713424 1927602 2141780 2570136 2891403 3212670 3855204 4283560 4819005 5140272 5782806 6425340 7710408 8567120 9638010 11565612 12850680 14457015 15420816 19276020 23131224 25701360 28914030 38552040 46262448 57828060 77104080 115656120 231312240