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23232623232 = 27372131737151
BaseRepresentation
bin10101101000110001…
…011011001010000000
32012222010021112200010
4111220301123022000
5340040022420412
614401203424520
71451504016300
oct255061331200
965863245603
1023232623232
119942234775
124604685140
132263329450
1411a5763600
1590e96033c
hex568c5b280

23232623232 has 768 divisors, whose sum is σ = 84625793280. Its totient is φ = 5573836800.

The previous prime is 23232623213. The next prime is 23232623237.

23232623232 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×232326232322 (a number of 22 digits) contains 22 as substring.

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 23232623232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23232623237) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 153858357 + ... + 153858507.

It is an arithmetic number, because the mean of its divisors is an integer number (110189835).

Almost surely, 223232623232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23232623232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42312896640).

23232623232 is an abundant number, since it is smaller than the sum of its proper divisors (61393170048).

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

23232623232 is a wasteful number, since it uses less digits than its factorization.

23232623232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 230 counting only the distinct ones).

The product of its digits is 31104, while the sum is 30.

The spelling of 23232623232 in words is "twenty-three billion, two hundred thirty-two million, six hundred twenty-three thousand, two hundred thirty-two".