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2645625000 = 233571783
BaseRepresentation
bin1001110110110001…
…0000100010101000
320211101012200020010
42131230100202220
520404240000000
61114304531520
7122363304264
oct23554204250
96741180203
102645625000
111138428247
1261a020ba0
13332158ba5
141b151b0a4
151073e3d50
hex9db108a8

2645625000 has 256 divisors, whose sum is σ = 8859352320. Its totient is φ = 656000000.

The previous prime is 2645624987. The next prime is 2645625013. The reversal of 2645625000 is 5265462.

It is an interprime number because it is at equal distance from previous prime (2645624987) and next prime (2645625013).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31874959 + ... + 31875041.

It is an arithmetic number, because the mean of its divisors is an integer number (34606845).

Almost surely, 22645625000 is an apocalyptic number.

2645625000 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 2645625000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4429676160).

2645625000 is an abundant number, since it is smaller than the sum of its proper divisors (6213727320).

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

2645625000 is an frugal number, since it uses more digits than its factorization.

2645625000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 2645625000 is about 51435.6393952676. The cubic root of 2645625000 is about 1383.0655438801.

The spelling of 2645625000 in words is "two billion, six hundred forty-five million, six hundred twenty-five thousand".