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231434223024 = 24371271325031
BaseRepresentation
bin1101011110001010001…
…1011111110110110000
3211010101001022122222210
43113202203133312300
512242434130114044
6254152554332120
722502104303044
oct3274243376660
9733331278883
10231434223024
118a172649214
1238a2aa2a040
1318a93885c44
14b2b6bca024
156047e531b9
hex35e28dfdb0

231434223024 has 80 divisors (see below), whose sum is σ = 606540178944. Its totient is φ = 76027123200.

The previous prime is 231434223023. The next prime is 231434223043. The reversal of 231434223024 is 420322434132.

It is a junction number, because it is equal to n+sod(n) for n = 231434222982 and 231434223000.

It is not an unprimeable number, because it can be changed into a prime (231434223023) 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, 9233389 + ... + 9258419.

Almost surely, 2231434223024 is an apocalyptic number.

231434223024 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 231434223024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303270089472).

231434223024 is an abundant number, since it is smaller than the sum of its proper divisors (375105955920).

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

231434223024 is a wasteful number, since it uses less digits than its factorization.

231434223024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27826 (or 27820 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 231434223024 its reverse (420322434132), we get a palindrome (651756657156).

The spelling of 231434223024 in words is "two hundred thirty-one billion, four hundred thirty-four million, two hundred twenty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 142 213 284 426 568 852 1136 1704 2713 3408 5426 8139 10852 16278 21704 25031 32556 43408 50062 65112 75093 100124 130224 150186 192623 200248 300372 385246 400496 577869 600744 770492 1155738 1201488 1540984 1777201 2311476 3081968 3554402 4622952 5331603 7108804 9245904 10663206 14217608 21326412 28435216 42652824 67909103 85305648 135818206 203727309 271636412 407454618 543272824 814909236 1086545648 1629818472 3259636944 4821546313 9643092626 14464638939 19286185252 28929277878 38572370504 57858555756 77144741008 115717111512 231434223024