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2298825984 = 283721337127
BaseRepresentation
bin1000100100000101…
…0100110100000000
312221012122110102010
42021001110310000
514201444412414
61020035452520
7110652461400
oct21101246400
95835573363
102298825984
11a7a699a94
12541a57140
132a8353980
1417b444800
15d6c3d959
hex89054d00

2298825984 has 432 divisors, whose sum is σ = 7933728768. Its totient is φ = 585252864.

The previous prime is 2298825983. The next prime is 2298826091. The reversal of 2298825984 is 4895288922.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2298825983) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18100929 + ... + 18101055.

Almost surely, 22298825984 is an apocalyptic number.

2298825984 is a gapful number since it is divisible by the number (24) 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 2298825984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3966864384).

2298825984 is an abundant number, since it is smaller than the sum of its proper divisors (5634902784).

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

2298825984 is a wasteful number, since it uses less digits than its factorization.

2298825984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 189 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 57.

The square root of 2298825984 is about 47946.0737078648. The cubic root of 2298825984 is about 1319.7814881640.

The spelling of 2298825984 in words is "two billion, two hundred ninety-eight million, eight hundred twenty-five thousand, nine hundred eighty-four".