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231143424 = 2113172213
BaseRepresentation
bin11011100011011…
…11100000000000
3121002221022011120
431301233200000
5433133042144
634534112240
75504454351
oct1561574000
9532838146
10231143424
11109524526
12654ab680
1338b6c875
14229abd28
151545be19
hexdc6f800

231143424 has 96 divisors (see below), whose sum is σ = 652775760. Its totient is φ = 72482816.

The previous prime is 231143387. The next prime is 231143443. The reversal of 231143424 is 424341132.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 231143394 and 231143403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103342 + ... + 105554.

Almost surely, 2231143424 is an apocalyptic number.

231143424 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 231143424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326387880).

231143424 is an abundant number, since it is smaller than the sum of its proper divisors (421632336).

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

231143424 is a wasteful number, since it uses less digits than its factorization.

231143424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2255 (or 2235 counting only the distinct ones).

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

The square root of 231143424 is about 15203.4017246141. The cubic root of 231143424 is about 613.7062046917.

Adding to 231143424 its reverse (424341132), we get a palindrome (655484556).

The spelling of 231143424 in words is "two hundred thirty-one million, one hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1024 1088 1536 1632 2048 2176 2213 3072 3264 4352 4426 6144 6528 6639 8704 8852 13056 13278 17408 17704 26112 26556 34816 35408 37621 52224 53112 70816 75242 104448 106224 112863 141632 150484 212448 225726 283264 300968 424896 451452 566528 601936 849792 902904 1133056 1203872 1699584 1805808 2266112 2407744 3399168 3611616 4532224 4815488 6798336 7223232 9630976 13596672 14446464 19261952 28892928 38523904 57785856 77047808 115571712 231143424