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2325224440 = 23574113171
BaseRepresentation
bin1000101010011000…
…0001101111111000
320000001022122021201
42022212001233320
514230224140230
61022421343544
7111423040000
oct21246015770
96001278251
102325224440
11a9358a5a0
1254a867bb4
132b0967566
14180b57000
15d92055ca
hex8a981bf8

2325224440 has 320 divisors, whose sum is σ = 6969784320. Its totient is φ = 691488000.

The previous prime is 2325224401. The next prime is 2325224443. The reversal of 2325224440 is 444225232.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2325224399 and 2325224408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2325224443) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 32749605 + ... + 32749675.

It is an arithmetic number, because the mean of its divisors is an integer number (21780576).

Almost surely, 22325224440 is an apocalyptic number.

2325224440 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 2325224440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3484892160).

2325224440 is an abundant number, since it is smaller than the sum of its proper divisors (4644559880).

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

2325224440 is a wasteful number, since it uses less digits than its factorization.

2325224440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 28.

The square root of 2325224440 is about 48220.5810831848. The cubic root of 2325224440 is about 1324.8141550191.

Adding to 2325224440 its reverse (444225232), we get a palindrome (2769449672).

The spelling of 2325224440 in words is "two billion, three hundred twenty-five million, two hundred twenty-four thousand, four hundred forty".