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2280018240 = 263351719243
BaseRepresentation
bin1000011111100110…
…0101000101000000
312212220020221001000
42013321211011000
514132141040430
61014124412000
7110333556333
oct20771450500
95786227030
102280018240
11a700134a5
125376a7000
132a449a126
14178b4a61a
15d5275e60
hex87e65140

2280018240 has 672 divisors, whose sum is σ = 9197400960. Its totient is φ = 529514496.

The previous prime is 2280018239. The next prime is 2280018263. The reversal of 2280018240 is 428100822.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53023659 + ... + 53023701.

Almost surely, 22280018240 is an apocalyptic number.

2280018240 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 2280018240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4598700480).

2280018240 is an abundant number, since it is smaller than the sum of its proper divisors (6917382720).

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

2280018240 is a wasteful number, since it uses less digits than its factorization.

2280018240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 2280018240 is about 47749.5365422535. The cubic root of 2280018240 is about 1316.1723828226.

The spelling of 2280018240 in words is "two billion, two hundred eighty million, eighteen thousand, two hundred forty".