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232312202213232 = 2434839837546109
BaseRepresentation
bin110100110100100101100110…
…010010100011011101110000
31010110112211101210201100112010
4310310211212102203131300
5220422200342231310412
62142030430302402520
766635000636364231
oct6464454622433560
91113484353640463
10232312202213232
1168027062867929
122207b7b2590440
139c81c3caa63bb
144151d833bb088
151bcce908ba33c
hexd349664a3770

232312202213232 has 20 divisors (see below), whose sum is σ = 600139855717640. Its totient is φ = 77437400737728.

The previous prime is 232312202213219. The next prime is 232312202213233.

It is a happy number.

232312202213232 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 232312202213232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232312202213233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2419918773007 + ... + 2419918773102.

It is an arithmetic number, because the mean of its divisors is an integer number (30006992785882).

Almost surely, 2232312202213232 is an apocalyptic number.

It is an amenable number.

232312202213232 is an abundant number, since it is smaller than the sum of its proper divisors (367827653504408).

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

232312202213232 is a wasteful number, since it uses less digits than its factorization.

232312202213232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4839837546120 (or 4839837546114 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

It can be divided in two parts, 23231220 and 2213232, that added together give a palindrome (25444452).

The spelling of 232312202213232 in words is "two hundred thirty-two trillion, three hundred twelve billion, two hundred two million, two hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 4839837546109 9679675092218 14519512638327 19359350184436 29039025276654 38718700368872 58078050553308 77437400737744 116156101106616 232312202213232