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2398275000 = 233355111719
BaseRepresentation
bin1000111011110010…
…1100010110111000
320012010202222211000
42032330230112320
514402424300000
61033551205000
7113301000252
oct21674542670
96163688730
102398275000
111020844560
1256b216760
132c2b33744
1418a730cd2
15e0835000
hex8ef2c5b8

2398275000 has 768 divisors, whose sum is σ = 10124352000. Its totient is φ = 518400000.

The previous prime is 2398274987. The next prime is 2398275001. The reversal of 2398275000 is 5728932.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2398275001) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 126224991 + ... + 126225009.

It is an arithmetic number, because the mean of its divisors is an integer number (13182750).

Almost surely, 22398275000 is an apocalyptic number.

2398275000 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 2398275000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5062176000).

2398275000 is an abundant number, since it is smaller than the sum of its proper divisors (7726077000).

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

2398275000 is a wasteful number, since it uses less digits than its factorization.

2398275000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2398275000 is about 48972.1859834743. The cubic root of 2398275000 is about 1338.5450533273.

The spelling of 2398275000 in words is "two billion, three hundred ninety-eight million, two hundred seventy-five thousand".