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2325145240 = 2351110152321
BaseRepresentation
bin1000101010010110…
…1110011010011000
320000001011121122101
42022211232122120
514230214121430
61022415533144
7111422260045
oct21245563230
96001147571
102325145240
11a93536040
1254a82a1b4
132b093a4b2
14180b361cc
15d91dbdca
hex8a96e698

2325145240 has 64 divisors (see below), whose sum is σ = 5763791520. Its totient is φ = 837120000.

The previous prime is 2325145237. The next prime is 2325145243. The reversal of 2325145240 is 425415232.

It is an interprime number because it is at equal distance from previous prime (2325145237) and next prime (2325145243).

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

It is a junction number, because it is equal to n+sod(n) for n = 2325145199 and 2325145208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2325145243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18280 + ... + 70600.

Almost surely, 22325145240 is an apocalyptic number.

2325145240 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 2325145240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2881895760).

2325145240 is an abundant number, since it is smaller than the sum of its proper divisors (3438646280).

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

2325145240 is a wasteful number, since it uses less digits than its factorization.

2325145240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52444 (or 52440 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 2325145240 is about 48219.7598500864. The cubic root of 2325145240 is about 1324.7991132493.

The spelling of 2325145240 in words is "two billion, three hundred twenty-five million, one hundred forty-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 202 220 404 440 505 808 1010 1111 2020 2222 4040 4444 5555 8888 11110 22220 44440 52321 104642 209284 261605 418568 523210 575531 1046420 1151062 2092840 2302124 2877655 4604248 5284421 5755310 10568842 11510620 21137684 23021240 26422105 42275368 52844210 58128631 105688420 116257262 211376840 232514524 290643155 465029048 581286310 1162572620 2325145240