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2325248640 = 273351113941
BaseRepresentation
bin1000101010011000…
…0111101010000000
320000001100212111000
42022212013222000
514230230424030
61022422052000
7111423200361
oct21246075200
96001325430
102325248640
11a935a67a0
1254a87a000
132b0975590
14180b61b68
15d920c860
hex8a987a80

2325248640 has 512 divisors, whose sum is σ = 9685267200. Its totient is φ = 519782400.

The previous prime is 2325248617. The next prime is 2325248659. The reversal of 2325248640 is 468425232.

2325248640 is a `hidden beast` number, since 2 + 3 + 2 + 5 + 2 + 4 + 8 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2325248595 and 2325248604.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2470570 + ... + 2471510.

Almost surely, 22325248640 is an apocalyptic number.

2325248640 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 2325248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4842633600).

2325248640 is an abundant number, since it is smaller than the sum of its proper divisors (7360018560).

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

2325248640 is a wasteful number, since it uses less digits than its factorization.

2325248640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 2325248640 is about 48220.8320127308. The cubic root of 2325248640 is about 1324.8187510473.

The spelling of 2325248640 in words is "two billion, three hundred twenty-five million, two hundred forty-eight thousand, six hundred forty".