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23221332312 = 233233743137193
BaseRepresentation
bin10101101000000110…
…010110100101011000
32012221100000220102220
4111220012112211120
5340024130113222
614400121424040
71451306032203
oct255006264530
965840026386
1023221332312
119936922732
12460093b020
132260ba5129
1411a406493a
1590d97eb5c
hex568196958

23221332312 has 256 divisors, whose sum is σ = 64458408960. Its totient is φ = 6948716544.

The previous prime is 23221332307. The next prime is 23221332341. The reversal of 23221332312 is 21323312232.

It is a super-3 number, since 3×232213323123 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

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, 120317688 + ... + 120317880.

It is an arithmetic number, because the mean of its divisors is an integer number (251790660).

Almost surely, 223221332312 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 23221332312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32229204480).

23221332312 is an abundant number, since it is smaller than the sum of its proper divisors (41237076648).

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

23221332312 is a wasteful number, since it uses less digits than its factorization.

23221332312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 438 counting only the distinct ones).

The product of its digits is 2592, while the sum is 24.

Adding to 23221332312 its reverse (21323312232), we get a palindrome (44544644544).

The spelling of 23221332312 in words is "twenty-three billion, two hundred twenty-one million, three hundred thirty-two thousand, three hundred twelve".