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23020800 = 2835211109
BaseRepresentation
bin101011111010…
…0010100000000
31121022120121020
41113310110000
521343131200
62141225440
7366450015
oct127642400
947276536
1023020800
1111aa3960
127862280
134a0039a
1430b370c
15204aea0
hex15f4500

23020800 has 216 divisors, whose sum is σ = 83640480. Its totient is φ = 5529600.

The previous prime is 23020793. The next prime is 23020831. The reversal of 23020800 is 802032.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 23020800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 211146 + ... + 211254.

Almost surely, 223020800 is an apocalyptic number.

23020800 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 23020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41820240).

23020800 is an abundant number, since it is smaller than the sum of its proper divisors (60619680).

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

23020800 is a wasteful number, since it uses less digits than its factorization.

23020800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 23020800 is about 4797.9995831596. Note that the first 3 decimals coincide. The cubic root of 23020800 is about 284.4724003195.

Adding to 23020800 its reverse (802032), we get a palindrome (23822832).

The spelling of 23020800 in words is "twenty-three million, twenty thousand, eight hundred".