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2293784064 = 29321113592
BaseRepresentation
bin1000100010111000…
…0101111000000000
312220212011022012100
42020232011320000
514144202042224
61015335430400
7110561562045
oct21056057000
95825138170
102293784064
11a77865a10
12540225400
132a72a9aa0
1417a8d11cc
15d6594ac9
hex88b85e00

2293784064 has 360 divisors, whose sum is σ = 7911415512. Its totient is φ = 630743040.

The previous prime is 2293783937. The next prime is 2293784081. The reversal of 2293784064 is 4604873922.

It is a super-2 number, since 2×22937840642 = 10522890664520712192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 38877667 + ... + 38877725.

Almost surely, 22293784064 is an apocalyptic number.

2293784064 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 2293784064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3955707756).

2293784064 is an abundant number, since it is smaller than the sum of its proper divisors (5617631448).

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

2293784064 is a wasteful number, since it uses less digits than its factorization.

2293784064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 2293784064 is about 47893.4657756149. The cubic root of 2293784064 is about 1318.8159078371.

The spelling of 2293784064 in words is "two billion, two hundred ninety-three million, seven hundred eighty-four thousand, sixty-four".