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2465232900 = 223521317192103
BaseRepresentation
bin1001001011110000…
…0111100000000100
320100210202210210020
42102330013200010
520022044423100
61044342255140
7115043063634
oct22274074004
96323683706
102465232900
111055617a69
125897274b0
133039786c0
141955a06c4
15e665e5a0
hex92f07804

2465232900 has 432 divisors, whose sum is σ = 8667195264. Its totient is φ = 535818240.

The previous prime is 2465232859. The next prime is 2465232901. The reversal of 2465232900 is 92325642.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2465232901) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23934249 + ... + 23934351.

It is an arithmetic number, because the mean of its divisors is an integer number (20062952).

Almost surely, 22465232900 is an apocalyptic number.

2465232900 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 2465232900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4333597632).

2465232900 is an abundant number, since it is smaller than the sum of its proper divisors (6201962364).

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

2465232900 is a wasteful number, since it uses less digits than its factorization.

2465232900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 2465232900 is about 49651.1117700299. Note that the first 3 decimals coincide. The cubic root of 2465232900 is about 1350.8879206708.

The spelling of 2465232900 in words is "two billion, four hundred sixty-five million, two hundred thirty-two thousand, nine hundred".