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23352311808 = 2193272101
BaseRepresentation
bin10101101111111010…
…000000000000000000
32020021110111100112100
4111233322000000000
5340311142434213
614421121030400
71454456242500
oct255772000000
966243440470
1023352311808
1199a3853551
124638785400
1322820746a7
1411b75dba00
1591a203773
hex56fe80000

23352311808 has 360 divisors, whose sum is σ = 79253395650. Its totient is φ = 6606028800.

The previous prime is 23352311791. The next prime is 23352311813. The reversal of 23352311808 is 80811325332.

It is a happy number.

23352311808 is a `hidden beast` number, since 2 + 335 + 2 + 311 + 8 + 0 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13988265984 + 9364045824 = 118272^2 + 96768^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 231210958 + ... + 231211058.

Almost surely, 223352311808 is an apocalyptic number.

23352311808 is a gapful number since it is divisible by the number (28) 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 23352311808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39626697825).

23352311808 is an abundant number, since it is smaller than the sum of its proper divisors (55901083842).

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

23352311808 is an frugal number, since it uses more digits than its factorization.

23352311808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 23352311808 in words is "twenty-three billion, three hundred fifty-two million, three hundred eleven thousand, eight hundred eight".