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2325314040 = 233572768231
BaseRepresentation
bin1000101010011001…
…0111100111111000
320000001111012012020
42022212113213320
514230240022130
61022423314440
7111423562140
oct21246274770
96001435166
102325314040
11a93640945
1254a8aba20
132b099928a
14180b7b920
15d9221e10
hex8a9979f8

2325314040 has 64 divisors (see below), whose sum is σ = 7972508160. Its totient is φ = 531500160.

The previous prime is 2325314023. The next prime is 2325314051. The reversal of 2325314040 is 404135232.

It is a super-2 number, since 2×23253140402 = 10814170769242243200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2325314040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1383276 + ... + 1384955.

It is an arithmetic number, because the mean of its divisors is an integer number (124570440).

Almost surely, 22325314040 is an apocalyptic number.

2325314040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2325314040 is an abundant number, since it is smaller than the sum of its proper divisors (5647194120).

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

2325314040 is a wasteful number, since it uses less digits than its factorization.

2325314040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2768252 (or 2768248 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 2325314040 is about 48221.5101381116. The cubic root of 2325314040 is about 1324.8311715591.

Adding to 2325314040 its reverse (404135232), we get a palindrome (2729449272).

The spelling of 2325314040 in words is "two billion, three hundred twenty-five million, three hundred fourteen thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 2768231 5536462 8304693 11072924 13841155 16609386 19377617 22145848 27682310 33218772 38755234 41523465 55364620 58132851 66437544 77510468 83046930 96888085 110729240 116265702 155020936 166093860 193776170 232531404 290664255 332187720 387552340 465062808 581328510 775104680 1162657020 2325314040