Search a number
-
+
232123223332 = 22711131272831613
BaseRepresentation
bin1101100000101110011…
…1110100110100100100
3211012011001210111201201
43120023213310310210
512300342021121312
6254345210132244
722525141562230
oct3301347646444
9735131714651
10232123223332
118a496565360
1238ba1721084
1318b73543730
14b3404dd5c0
1560886a1557
hex360b9f4d24

232123223332 has 192 divisors, whose sum is σ = 551987380224. Its totient is φ = 82479720960.

The previous prime is 232123223309. The next prime is 232123223399. The reversal of 232123223332 is 233322321232.

It is a happy number.

232123223332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 232123223332.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 143906958 + ... + 143908570.

It is an arithmetic number, because the mean of its divisors is an integer number (2874934272).

Almost surely, 2232123223332 is an apocalyptic number.

232123223332 is a gapful number since it is divisible by the number (22) 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 232123223332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275993690112).

232123223332 is an abundant number, since it is smaller than the sum of its proper divisors (319864156892).

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

232123223332 is a wasteful number, since it uses less digits than its factorization.

232123223332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2058 (or 2056 counting only the distinct ones).

The product of its digits is 15552, while the sum is 28.

Adding to 232123223332 its reverse (233322321232), we get a palindrome (465445544564).

The spelling of 232123223332 in words is "two hundred thirty-two billion, one hundred twenty-three million, two hundred twenty-three thousand, three hundred thirty-two".