Search a number
-
+
23221012232 = 231121741127271
BaseRepresentation
bin10101101000000101…
…001000011100001000
32012221022102122101002
4111220011020130020
5340024034342412
614400110514132
71451303230055
oct255005103410
965838378332
1023221012232
119936724200
124600805948
132260ac2532
1411a3dc002c
1590d919dc2
hex568148708

23221012232 has 192 divisors, whose sum is σ = 52510187520. Its totient is φ = 9580032000.

The previous prime is 23221012223. The next prime is 23221012237.

It is a happy number.

23221012232 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (23221012237) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85686257 + ... + 85686527.

It is an arithmetic number, because the mean of its divisors is an integer number (273490560).

Almost surely, 223221012232 is an apocalyptic number.

23221012232 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 23221012232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26255093760).

23221012232 is an abundant number, since it is smaller than the sum of its proper divisors (29289175288).

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

23221012232 is a wasteful number, since it uses less digits than its factorization.

23221012232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

It can be divided in two parts, 232210 and 12232, that added together give a palindrome (244442).

The spelling of 23221012232 in words is "twenty-three billion, two hundred twenty-one million, twelve thousand, two hundred thirty-two".