Search a number
-
+
231829356 = 2231112713829
BaseRepresentation
bin11011101000101…
…10111101101100
3121011020011002110
431310112331230
5433322014411
635000524020
75513342223
oct1564267554
9534204073
10231829356
11109952910
1265780610
133904cb45
1422b09cba
15155452a6
hexdd16f6c

231829356 has 48 divisors (see below), whose sum is σ = 594800640. Its totient is φ = 69693120.

The previous prime is 231829337. The next prime is 231829361. The reversal of 231829356 is 653928132.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9850 + ... + 23678.

It is an arithmetic number, because the mean of its divisors is an integer number (12391680).

Almost surely, 2231829356 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231829356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297400320).

231829356 is an abundant number, since it is smaller than the sum of its proper divisors (362971284).

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

231829356 is a wasteful number, since it uses less digits than its factorization.

231829356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13974 (or 13972 counting only the distinct ones).

The product of its digits is 77760, while the sum is 39.

The square root of 231829356 is about 15225.9435175624. The cubic root of 231829356 is about 614.3126751874.

The spelling of 231829356 in words is "two hundred thirty-one million, eight hundred twenty-nine thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 127 132 254 381 508 762 1397 1524 2794 4191 5588 8382 13829 16764 27658 41487 55316 82974 152119 165948 304238 456357 608476 912714 1756283 1825428 3512566 5268849 7025132 10537698 19319113 21075396 38638226 57957339 77276452 115914678 231829356