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2323218240 = 263357107359
BaseRepresentation
bin1000101001111001…
…0111111101000000
312222220112201022000
42022132113331000
514224220440430
61022310344000
7111400013010
oct21236277500
95886481260
102323218240
11a9243a282
1254a05b000
132b0414365
14180793c40
15d8e5ae60
hex8a797f40

2323218240 has 448 divisors, whose sum is σ = 9480499200. Its totient is φ = 524593152.

The previous prime is 2323218229. The next prime is 2323218241. The reversal of 2323218240 is 428123232.

2323218240 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2323218241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6471181 + ... + 6471539.

Almost surely, 22323218240 is an apocalyptic number.

2323218240 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 2323218240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4740249600).

2323218240 is an abundant number, since it is smaller than the sum of its proper divisors (7157280960).

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

2323218240 is a wasteful number, since it uses less digits than its factorization.

2323218240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2323218240 is about 48199.7742733304. The cubic root of 2323218240 is about 1324.4330295282.

The spelling of 2323218240 in words is "two billion, three hundred twenty-three million, two hundred eighteen thousand, two hundred forty".