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2328019400 = 235272317997
BaseRepresentation
bin1000101011000010…
…1100000111001000
320000020120122020202
42022300230013020
514231433110100
61023001311332
7111455560400
oct21260540710
96006518222
102328019400
11a95119483
1254b795548
132b1405795
14181283800
15d95a87d5
hex8ac2c1c8

2328019400 has 288 divisors, whose sum is σ = 6649574400. Its totient is φ = 754790400.

The previous prime is 2328019387. The next prime is 2328019409. The reversal of 2328019400 is 49108232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2328019409) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24000152 + ... + 24000248.

It is an arithmetic number, because the mean of its divisors is an integer number (23088800).

Almost surely, 22328019400 is an apocalyptic number.

2328019400 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 2328019400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3324787200).

2328019400 is an abundant number, since it is smaller than the sum of its proper divisors (4321555000).

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

2328019400 is a wasteful number, since it uses less digits than its factorization.

2328019400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 2328019400 is about 48249.5533658085. The cubic root of 2328019400 is about 1325.3447589881.

The spelling of 2328019400 in words is "two billion, three hundred twenty-eight million, nineteen thousand, four hundred".