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231213330224 = 24232933716427
BaseRepresentation
bin1101011101010101100…
…0110110111100110000
3211002210122200011000222
43113111120312330300
512242011103031344
6254115024032212
722463452610522
oct3272530667460
9732718604028
10231213330224
118a069996188
1238988a62668
1318a59b95046
14b295729a12
15603386d5ee
hex35d5636f30

231213330224 has 80 divisors (see below), whose sum is σ = 483790821120. Its totient is φ = 106718895360.

The previous prime is 231213330211. The next prime is 231213330251. The reversal of 231213330224 is 422033312132.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 231213330193 and 231213330202.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35972099 + ... + 35978525.

It is an arithmetic number, because the mean of its divisors is an integer number (6047385264).

Almost surely, 2231213330224 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 231213330224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241895410560).

231213330224 is an abundant number, since it is smaller than the sum of its proper divisors (252577490896).

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

231213330224 is a wasteful number, since it uses less digits than its factorization.

231213330224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9858 (or 9852 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 231213330224 its reverse (422033312132), we get a palindrome (653246642356).

The spelling of 231213330224 in words is "two hundred thirty-one billion, two hundred thirteen million, three hundred thirty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 23 29 46 58 92 116 184 232 368 464 667 1334 2668 3371 5336 6427 6742 10672 12854 13484 25708 26968 51416 53936 77533 97759 102832 147821 155066 186383 195518 295642 310132 372766 391036 591284 620264 745532 782072 1182568 1240528 1491064 1564144 2248457 2365136 2982128 4286809 4496914 8573618 8993828 17147236 17987656 21665417 34294472 35975312 43330834 68588944 86661668 173323336 346646672 498304591 628297093 996609182 1256594186 1993218364 2513188372 3986436728 5026376744 7972873456 10052753488 14450833139 28901666278 57803332556 115606665112 231213330224