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23321214400 = 2652113593691
BaseRepresentation
bin10101101110000011…
…010111110111000000
32020012021222102220111
4111232003113313000
5340230212330100
614414050321104
71453631023501
oct255603276700
966167872814
1023321214400
119988243610
12462a289194
1322787a7063
1411b3424ba8
1591760e6ba
hex56e0d7dc0

23321214400 has 168 divisors, whose sum is σ = 62792945280. Its totient is φ = 8454528000.

The previous prime is 23321214383. The next prime is 23321214407. The reversal of 23321214400 is 441212332.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23321214407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6316555 + ... + 6320245.

Almost surely, 223321214400 is an apocalyptic number.

23321214400 is a gapful number since it is divisible by the number (20) 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 23321214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31396472640).

23321214400 is an abundant number, since it is smaller than the sum of its proper divisors (39471730880).

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

23321214400 is a wasteful number, since it uses less digits than its factorization.

23321214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4083 (or 4068 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 23321214400 its reverse (441212332), we get a palindrome (23762426732).

The spelling of 23321214400 in words is "twenty-three billion, three hundred twenty-one million, two hundred fourteen thousand, four hundred".