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2242896480 = 253451115733
BaseRepresentation
bin1000010110101111…
…1110001001100000
312210022101221120000
42011223332021200
514043140141410
61010321020000
7106403206536
oct20553761140
95708357500
102242896480
11a51069360
12527184600
132998a06a6
14173c46156
15d1d91dc0
hex85afe260

2242896480 has 240 divisors, whose sum is σ = 8635700304. Its totient is φ = 543697920.

The previous prime is 2242896449. The next prime is 2242896499. The reversal of 2242896480 is 846982422.

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

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, 134694 + ... + 150426.

Almost surely, 22242896480 is an apocalyptic number.

2242896480 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 2242896480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4317850152).

2242896480 is an abundant number, since it is smaller than the sum of its proper divisors (6392803824).

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

2242896480 is a wasteful number, since it uses less digits than its factorization.

2242896480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15771 (or 15754 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 2242896480 is about 47359.2280342490. The cubic root of 2242896480 is about 1308.9902441533.

The spelling of 2242896480 in words is "two billion, two hundred forty-two million, eight hundred ninety-six thousand, four hundred eighty".