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2291690016 = 253373111937
BaseRepresentation
bin1000100010011000…
…0110101000100000
312220201012220201000
42020212012220200
514143133040031
61015222512000
7110535021000
oct21046065040
95821186630
102291690016
11a766656a0
1253b595600
132a6a258c5
1417a508000
15d62ce3e6
hex88986a20

2291690016 has 768 divisors, whose sum is σ = 9192960000. Its totient is φ = 548674560.

The previous prime is 2291689987. The next prime is 2291690033. The reversal of 2291690016 is 6100961922.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 61937550 + ... + 61937586.

It is an arithmetic number, because the mean of its divisors is an integer number (11970000).

Almost surely, 22291690016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2291690016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4596480000).

2291690016 is an abundant number, since it is smaller than the sum of its proper divisors (6901269984).

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

2291690016 is a wasteful number, since it uses less digits than its factorization.

2291690016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 2291690016 is about 47871.5992630286. The cubic root of 2291690016 is about 1318.4144599009.

The spelling of 2291690016 in words is "two billion, two hundred ninety-one million, six hundred ninety thousand, sixteen".