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23200320000 = 2935411133
BaseRepresentation
bin10101100110110110…
…001100101000000000
32012212212111100222010
4111212312030220000
5340003240220000
614354051212520
71450632315624
oct254666145000
965785440863
1023200320000
119925a80890
1245b58a7140
132259729000
1411a1355184
1590bbcdd50
hex566d8ca00

23200320000 has 800 divisors, whose sum is σ = 91273533120. Its totient is φ = 5191680000.

The previous prime is 23200319993. The next prime is 23200320001. The reversal of 23200320000 is 2300232.

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (23200320001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1784639994 + ... + 1784640006.

Almost surely, 223200320000 is an apocalyptic number.

23200320000 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 23200320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45636766560).

23200320000 is an abundant number, since it is smaller than the sum of its proper divisors (68073213120).

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

23200320000 is an frugal number, since it uses more digits than its factorization.

23200320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

Adding to 23200320000 its reverse (2300232), we get a palindrome (23202620232).

The spelling of 23200320000 in words is "twenty-three billion, two hundred million, three hundred twenty thousand".