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23216900 = 22527171951
BaseRepresentation
bin101100010010…
…0001100000100
31121200112121012
41120210030010
521420420100
62145341352
7401224520
oct130441404
947615535
1023216900
1112118223
127937858
134a6b715
143124d80
152089135
hex1624304

23216900 has 72 divisors (see below), whose sum is σ = 60996096. Its totient is φ = 7488000.

The previous prime is 23216899. The next prime is 23216903. The reversal of 23216900 is 961232.

It is a super-2 number, since 2×232169002 = 1078048891220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23216903) 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, 10925 + ... + 12875.

It is an arithmetic number, because the mean of its divisors is an integer number (847168).

Almost surely, 223216900 is an apocalyptic number.

23216900 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 23216900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30498048).

23216900 is an abundant number, since it is smaller than the sum of its proper divisors (37779196).

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

23216900 is a wasteful number, since it uses less digits than its factorization.

23216900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1989 (or 1982 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 23216900 is about 4818.3918479094. The cubic root of 23216900 is about 285.2778658643.

The spelling of 23216900 in words is "twenty-three million, two hundred sixteen thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 50 68 70 85 100 119 140 170 175 238 340 350 425 476 595 700 850 1190 1700 1951 2380 2975 3902 5950 7804 9755 11900 13657 19510 27314 33167 39020 48775 54628 66334 68285 97550 132668 136570 165835 195100 232169 273140 331670 341425 464338 663340 682850 829175 928676 1160845 1365700 1658350 2321690 3316700 4643380 5804225 11608450 23216900