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23223211232232 = 233112341271344221
BaseRepresentation
bin1010100011111000100110…
…10000011000101111101000
310001020010011112001020100010
411101330103100120233220
511020442114033412412
6121220332421011520
74614551552321004
oct521742320305750
9101203145036303
1023223211232232
1174439aa349270
122730992553ba0
13cc5c29bac93b
145a401bbcb704
152a415068633c
hex151f13418be8

23223211232232 has 256 divisors, whose sum is σ = 67951735971840. Its totient is φ = 6542933760000.

The previous prime is 23223211232227. The next prime is 23223211232279.

It is a happy number.

23223211232232 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 23223211232232.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67293882 + ... + 67638102.

It is an arithmetic number, because the mean of its divisors is an integer number (265436468640).

Almost surely, 223223211232232 is an apocalyptic number.

23223211232232 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 23223211232232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33975867985920).

23223211232232 is an abundant number, since it is smaller than the sum of its proper divisors (44728524739608).

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

23223211232232 is a wasteful number, since it uses less digits than its factorization.

23223211232232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344576 (or 344572 counting only the distinct ones).

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

It can be divided in two parts, 2322321 and 1232232, that added together give a palindrome (3554553).

The spelling of 23223211232232 in words is "twenty-three trillion, two hundred twenty-three billion, two hundred eleven million, two hundred thirty-two thousand, two hundred thirty-two".