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2284990560 = 253451571123
BaseRepresentation
bin1000100000110010…
…0011000001100000
312220020121112210000
42020030203001200
514134424144220
61014423140000
7110424046026
oct21014430140
95806545700
102284990560
11a728aa256
125392a4600
132a551b428
14179682716
15d5909390
hex88323060

2284990560 has 240 divisors, whose sum is σ = 8122702896. Its totient is φ = 604910592.

The previous prime is 2284990541. The next prime is 2284990571. The reversal of 2284990560 is 650994822.

2284990560 is a `hidden beast` number, since 2 + 2 + 84 + 9 + 9 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×22849905602 = 10442363718578227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2034159 + ... + 2035281.

Almost surely, 22284990560 is an apocalyptic number.

2284990560 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 2284990560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4061351448).

2284990560 is an abundant number, since it is smaller than the sum of its proper divisors (5837712336).

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

2284990560 is a wasteful number, since it uses less digits than its factorization.

2284990560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 2284990560 is about 47801.5748694538. The cubic root of 2284990560 is about 1317.1284685364.

The spelling of 2284990560 in words is "two billion, two hundred eighty-four million, nine hundred ninety thousand, five hundred sixty".