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231435864 = 2332111072731
BaseRepresentation
bin11011100101101…
…10111001011000
3121010111011022200
431302312321120
5433221421424
634544250200
75510113062
oct1562667130
9533434280
10231435864
11109704210
1265610960
1338c429ca
1422a46732
15154b88c9
hexdcb6e58

231435864 has 96 divisors (see below), whose sum is σ = 690431040. Its totient is φ = 69451200.

The previous prime is 231435859. The next prime is 231435877. The reversal of 231435864 is 468534132.

231435864 is a `hidden beast` number, since 2 + 31 + 43 + 586 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 83379 + ... + 86109.

It is an arithmetic number, because the mean of its divisors is an integer number (7191990).

Almost surely, 2231435864 is an apocalyptic number.

231435864 is a gapful number since it is divisible by the number (24) 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 231435864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345215520).

231435864 is an abundant number, since it is smaller than the sum of its proper divisors (458995176).

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

231435864 is a wasteful number, since it uses less digits than its factorization.

231435864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2861 (or 2854 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 231435864 is about 15213.0162689718. The cubic root of 231435864 is about 613.9649136264.

Adding to 231435864 its reverse (468534132), we get a palindrome (699969996).

The spelling of 231435864 in words is "two hundred thirty-one million, four hundred thirty-five thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 107 132 198 214 264 321 396 428 642 792 856 963 1177 1284 1926 2354 2568 2731 3531 3852 4708 5462 7062 7704 8193 9416 10593 10924 14124 16386 21186 21848 24579 28248 30041 32772 42372 49158 60082 65544 84744 90123 98316 120164 180246 196632 240328 270369 292217 360492 540738 584434 720984 876651 1081476 1168868 1753302 2162952 2337736 2629953 3214387 3506604 5259906 6428774 7013208 9643161 10519812 12857548 19286322 21039624 25715096 28929483 38572644 57858966 77145288 115717932 231435864