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23206795920 = 24335721131643
BaseRepresentation
bin10101100111001110…
…111001101010010000
32012220022200101021000
4111213032321222100
5340011414432140
614354442102000
71451041340100
oct254716715220
965808611230
1023206795920
1199296a4290
1245b7aaa900
13225ab85809
1411a215d200
1590c55ca30
hex5673b9a90

23206795920 has 960 divisors, whose sum is σ = 104873287680. Its totient is φ = 4659379200.

The previous prime is 23206795907. The next prime is 23206795981. The reversal of 23206795920 is 2959760232.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 36091119 + ... + 36091761.

It is an arithmetic number, because the mean of its divisors is an integer number (109243008).

Almost surely, 223206795920 is an apocalyptic number.

23206795920 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 23206795920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52436643840).

23206795920 is an abundant number, since it is smaller than the sum of its proper divisors (81666491760).

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

23206795920 is a wasteful number, since it uses less digits than its factorization.

23206795920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 23206795920 in words is "twenty-three billion, two hundred six million, seven hundred ninety-five thousand, nine hundred twenty".