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2291192064 = 28327197477
BaseRepresentation
bin1000100010010000…
…1101000100000000
312220200021121122100
42020210031010000
514143021121224
61015204110400
7110530545150
oct21044150400
95820247570
102291192064
11a76355567
1253b395400
132a68b0065
1417a418760
15d6231ac9
hex8890d100

2291192064 has 216 divisors, whose sum is σ = 7948216640. Its totient is φ = 620089344.

The previous prime is 2291192063. The next prime is 2291192069. The reversal of 2291192064 is 4602911922.

It is a super-2 number, since 2×22911920642 = 10499122148273160192, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2291192063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 302694 + ... + 310170.

Almost surely, 22291192064 is an apocalyptic number.

2291192064 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 2291192064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3974108320).

2291192064 is an abundant number, since it is smaller than the sum of its proper divisors (5657024576).

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

2291192064 is a wasteful number, since it uses less digits than its factorization.

2291192064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7525 (or 7508 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2291192064 is about 47866.3980679558. The cubic root of 2291192064 is about 1318.3189620124.

The spelling of 2291192064 in words is "two billion, two hundred ninety-one million, one hundred ninety-two thousand, sixty-four".