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23262308352 = 2113615581
BaseRepresentation
bin10101101010100010…
…101010100000000000
32020001012010201000000
4111222202222200000
5340120122331402
614404144000000
71452314233653
oct255242524000
966035121000
1023262308352
119957a6a628
124612600000
132269520cca
1411a968d89a
15912375c1c
hex56a8aa800

23262308352 has 168 divisors, whose sum is σ = 69742460970. Its totient is φ = 7753605120.

The previous prime is 23262308351. The next prime is 23262308371. The reversal of 23262308352 is 25380326232.

23262308352 is a `hidden beast` number, since 23 + 2 + 623 + 0 + 8 + 3 + 5 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21320672256 + 1941636096 = 146016^2 + 44064^2 .

It is a super-2 number, since 2×232623083522 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (23262308351) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1485202 + ... + 1500782.

Almost surely, 223262308352 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 23262308352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34871230485).

23262308352 is an abundant number, since it is smaller than the sum of its proper divisors (46480152618).

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

23262308352 is an frugal number, since it uses more digits than its factorization.

23262308352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15621 (or 15586 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 23262308352 in words is "twenty-three billion, two hundred sixty-two million, three hundred eight thousand, three hundred fifty-two".