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2291400090 = 2365783541
BaseRepresentation
bin1000100010010011…
…1111110110011010
312220200200012000000
42020210333312122
514143044300330
61015212353430
7110532402510
oct21044776632
95820605000
102291400090
11a76487891
1253b475876
132a6953955
1417a4704b0
15d6273560
hex8893fd9a

2291400090 has 224 divisors, whose sum is σ = 7165742976. Its totient is φ = 516481920.

The previous prime is 2291400077. The next prime is 2291400091. The reversal of 2291400090 is 900041922.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2291400091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4235220 + ... + 4235760.

It is an arithmetic number, because the mean of its divisors is an integer number (31989924).

Almost surely, 22291400090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2291400090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3582871488).

2291400090 is an abundant number, since it is smaller than the sum of its proper divisors (4874342886).

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

2291400090 is an equidigital number, since it uses as much as digits as its factorization.

2291400090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 2291400090 is about 47868.5710043657. The cubic root of 2291400090 is about 1318.3588591945.

The spelling of 2291400090 in words is "two billion, two hundred ninety-one million, four hundred thousand, ninety".