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2264850000 = 2432557719
BaseRepresentation
bin1000011011111110…
…1101111001010000
312211211201022010100
42012333231321100
514114300200000
61012423332400
7110060623140
oct20677557120
95754638110
102264850000
11a624a3366
125325b1100
132a12b903a
14176b1c920
15d3c7ba00
hex86fede50

2264850000 has 360 divisors, whose sum is σ = 9066919680. Its totient is φ = 516960000.

The previous prime is 2264849981. The next prime is 2264850001. The reversal of 2264850000 is 584622.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2264850001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3149641 + ... + 3150359.

It is an arithmetic number, because the mean of its divisors is an integer number (25185888).

Almost surely, 22264850000 is an apocalyptic number.

2264850000 is a gapful number since it is divisible by the number (20) 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 2264850000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4533459840).

2264850000 is an abundant number, since it is smaller than the sum of its proper divisors (6802069680).

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

2264850000 is an equidigital number, since it uses as much as digits as its factorization.

2264850000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2264850000 is about 47590.4402164973. The cubic root of 2264850000 is about 1313.2471935968.

The spelling of 2264850000 in words is "two billion, two hundred sixty-four million, eight hundred fifty thousand".