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2244723840 = 27345194353
BaseRepresentation
bin1000010111001011…
…1100010010000000
312210102211210020000
42011302330102000
514044122130330
61010424120000
7106424560242
oct20562742200
95712753200
102244723840
11a520a7277
12527906000
1329a090378
141741a0092
15d2103560
hex85cbc480

2244723840 has 640 divisors, whose sum is σ = 8797377600. Its totient is φ = 543449088.

The previous prime is 2244723839. The next prime is 2244723841. The reversal of 2244723840 is 483274422.

It is an interprime number because it is at equal distance from previous prime (2244723839) and next prime (2244723841).

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a junction number, because it is equal to n+sod(n) for n = 2244723795 and 2244723804.

It is not an unprimeable number, because it can be changed into a prime (2244723841) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 42353254 + ... + 42353306.

Almost surely, 22244723840 is an apocalyptic number.

2244723840 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 2244723840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4398688800).

2244723840 is an abundant number, since it is smaller than the sum of its proper divisors (6552653760).

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

2244723840 is a wasteful number, since it uses less digits than its factorization.

2244723840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The square root of 2244723840 is about 47378.5166504820. The cubic root of 2244723840 is about 1309.3456398237.

The spelling of 2244723840 in words is "two billion, two hundred forty-four million, seven hundred twenty-three thousand, eight hundred forty".