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2234928960 = 2632511194779
BaseRepresentation
bin1000010100110110…
…0100111101000000
312202202102011011200
42011031210331000
514034120211320
61005434141200
7106245403605
oct20515447500
95682364150
102234928960
11a47617230
12524581800
13298040c94
14172b706ac
15d131b290
hex85364f40

2234928960 has 672 divisors, whose sum is σ = 9129369600. Its totient is φ = 496005120.

The previous prime is 2234928937. The next prime is 2234928967. The reversal of 2234928960 is 698294322.

2234928960 is a `hidden beast` number, since 2 + 23 + 492 + 89 + 60 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2234928967) by changing a digit.

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, 28290201 + ... + 28290279.

Almost surely, 22234928960 is an apocalyptic number.

2234928960 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 2234928960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4564684800).

2234928960 is an abundant number, since it is smaller than the sum of its proper divisors (6894440640).

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

2234928960 is a wasteful number, since it uses less digits than its factorization.

2234928960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 2234928960 is about 47275.0352723295. The cubic root of 2234928960 is about 1307.4384144761.

The spelling of 2234928960 in words is "two billion, two hundred thirty-four million, nine hundred twenty-eight thousand, nine hundred sixty".