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231505434 = 23229241373
BaseRepresentation
bin11011100110001…
…11111000011010
3121010121200202100
431303013320122
5433231133214
634545544230
75510522646
oct1563077032
9533550670
10231505434
11109751506
1265645076
1338c68584
1422a63c26
15154ce309
hexdcc7e1a

231505434 has 72 divisors (see below), whose sum is σ = 533585052. Its totient is φ = 72495360.

The previous prime is 231505429. The next prime is 231505457. The reversal of 231505434 is 434505132.

It can be written as a sum of positive squares in 6 ways, for example, as 63154809 + 168350625 = 7947^2 + 12975^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 231505398 and 231505407.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 620472 + ... + 620844.

Almost surely, 2231505434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231505434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266792526).

231505434 is an abundant number, since it is smaller than the sum of its proper divisors (302079618).

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

231505434 is a wasteful number, since it uses less digits than its factorization.

231505434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 231505434 is about 15215.3026259749. The cubic root of 231505434 is about 614.0264270828.

The spelling of 231505434 in words is "two hundred thirty-one million, five hundred five thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 29 41 58 82 87 123 174 246 261 369 373 522 738 746 841 1119 1189 1682 2238 2378 2523 3357 3567 5046 6714 7134 7569 10701 10817 15138 15293 21402 21634 30586 32451 34481 45879 64902 68962 91758 97353 103443 137637 194706 206886 275274 310329 313693 443497 620658 627386 886994 941079 1330491 1882158 2660982 2823237 3991473 5646474 7982946 12861413 25722826 38584239 77168478 115752717 231505434