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2293068960 = 2533571319307
BaseRepresentation
bin1000100010101101…
…0111010010100000
312220210210222021000
42020223113102200
514144011201320
61015312232000
7110552523150
oct21053272240
95823728230
102293068960
11a77417716
1253bb3b600
132a70b9450
1417a786760
15d64a2c90
hex88ad74a0

2293068960 has 768 divisors, whose sum is σ = 10431590400. Its totient is φ = 456855552.

The previous prime is 2293068949. The next prime is 2293068991. The reversal of 2293068960 is 698603922.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 127 ways as a sum of consecutive naturals, for example, 7469127 + ... + 7469433.

It is an arithmetic number, because the mean of its divisors is an integer number (13582800).

Almost surely, 22293068960 is an apocalyptic number.

2293068960 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 2293068960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5215795200).

2293068960 is an abundant number, since it is smaller than the sum of its proper divisors (8138521440).

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

2293068960 is a wasteful number, since it uses less digits than its factorization.

2293068960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 2293068960 is about 47885.9996241073. Note that the first 3 decimals coincide. The cubic root of 2293068960 is about 1318.6788434162.

The spelling of 2293068960 in words is "two billion, two hundred ninety-three million, sixty-eight thousand, nine hundred sixty".