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23224311342232 = 237111335961713093
BaseRepresentation
bin1010100011111010101001…
…10100111110010010011000
310001020020000012002121112221
411101331110310332102120
511021001342200422412
6121221033520113424
74614621041152540
oct521752464762230
9101206005077487
1023224311342232
117444414329190
12273103aa65874
13cc6073a9b6c0
145a40c3d58320
152a41b703eb07
hex151f54d3e498

23224311342232 has 256 divisors, whose sum is σ = 58729166899200. Its totient is φ = 8314999418880.

The previous prime is 23224311342203. The next prime is 23224311342259.

It is a happy number.

23224311342232 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1773789478 + ... + 1773802570.

It is an arithmetic number, because the mean of its divisors is an integer number (229410808200).

Almost surely, 223224311342232 is an apocalyptic number.

23224311342232 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 23224311342232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29364583449600).

23224311342232 is an abundant number, since it is smaller than the sum of its proper divisors (35504855556968).

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

23224311342232 is a wasteful number, since it uses less digits than its factorization.

23224311342232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14106 (or 14102 counting only the distinct ones).

The product of its digits is 82944, while the sum is 34.

It can be divided in two parts, 2322431 and 1342232, that added together give a palindrome (3664663).

The spelling of 23224311342232 in words is "twenty-three trillion, two hundred twenty-four billion, three hundred eleven million, three hundred forty-two thousand, two hundred thirty-two".