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2243893248 = 21132236779
BaseRepresentation
bin1000010110111111…
…0001100000000000
312210101021120212100
42011233301200000
514043414040443
61010354230400
7106414530552
oct20557614000
95711246770
102243893248
11a5168a233
12527585400
13299b5c2ac
141740254d2
15d1edc3d3
hex85bf1800

2243893248 has 288 divisors, whose sum is σ = 6950361600. Its totient is φ = 695844864.

The previous prime is 2243893153. The next prime is 2243893259. The reversal of 2243893248 is 8423983422.

2243893248 is a `hidden beast` number, since 2 + 24 + 389 + 3 + 248 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28403673 + ... + 28403751.

It is an arithmetic number, because the mean of its divisors is an integer number (24133200).

Almost surely, 22243893248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2243893248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3475180800).

2243893248 is an abundant number, since it is smaller than the sum of its proper divisors (4706468352).

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

2243893248 is a wasteful number, since it uses less digits than its factorization.

2243893248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 174 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 2243893248 is about 47369.7503476639. The cubic root of 2243893248 is about 1309.1841253487.

The spelling of 2243893248 in words is "two billion, two hundred forty-three million, eight hundred ninety-three thousand, two hundred forty-eight".