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2298136320 = 28335292293
BaseRepresentation
bin1000100011111010…
…1100011100000000
312221011100102101000
42020332230130000
514201310330240
61020013012000
7110643556614
oct21076543400
95834312330
102298136320
11a7a268917
12541784000
132a8171a9c
1417b305344
15d6b54430
hex88fac700

2298136320 has 288 divisors, whose sum is σ = 8440084800. Its totient is φ = 591446016.

The previous prime is 2298136303. The next prime is 2298136331. The reversal of 2298136320 is 236318922.

2298136320 is a `hidden beast` number, since 2 + 2 + 9 + 8 + 13 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

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 31 ways as a sum of consecutive naturals, for example, 1001094 + ... + 1003386.

It is an arithmetic number, because the mean of its divisors is an integer number (29305850).

Almost surely, 22298136320 is an apocalyptic number.

2298136320 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 2298136320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4220042400).

2298136320 is an abundant number, since it is smaller than the sum of its proper divisors (6141948480).

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

2298136320 is a wasteful number, since it uses less digits than its factorization.

2298136320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2352 (or 2332 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2298136320 is about 47938.8810883191. The cubic root of 2298136320 is about 1319.6494937134.

The spelling of 2298136320 in words is "two billion, two hundred ninety-eight million, one hundred thirty-six thousand, three hundred twenty".