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2290540032 = 2934115021
BaseRepresentation
bin1000100010000110…
…1101111000000000
312220122001111020000
42020201231320000
514142334240112
61015142120000
7110522161164
oct21041557000
95818044200
102290540032
11a75a4a6a0
1253b120000
132a6712341
1417a2c8ca4
15d61537dc
hex8886de00

2290540032 has 200 divisors, whose sum is σ = 7459658712. Its totient is φ = 693964800.

The previous prime is 2290540001. The next prime is 2290540037. The reversal of 2290540032 is 2300450922.

2290540032 is a `hidden beast` number, since 2 + 2 + 90 + 540 + 0 + 32 = 666.

It is a super-2 number, since 2×22905400322 = 10493147276389122048, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2290539978 and 2290540005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2290540037) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 453682 + ... + 458702.

Almost surely, 22290540032 is an apocalyptic number.

2290540032 is a gapful number since it is divisible by the number (22) 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 2290540032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3729829356).

2290540032 is an abundant number, since it is smaller than the sum of its proper divisors (5169118680).

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

2290540032 is an equidigital number, since it uses as much as digits as its factorization.

2290540032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5062 (or 5037 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2290540032 is about 47859.5866258788. The cubic root of 2290540032 is about 1318.1938935358.

Adding to 2290540032 its reverse (2300450922), we get a palindrome (4590990954).

The spelling of 2290540032 in words is "two billion, two hundred ninety million, five hundred forty thousand, thirty-two".