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2242199232 = 2634731397
BaseRepresentation
bin1000010110100101…
…0011111011000000
312210021002112010000
42011221103323000
514043000333412
61010254040000
7106364244000
oct20551237300
95707075100
102242199232
11a50732519
12526aa9000
132996b8210
14173b04000
15d1ca54dc
hex85a53ec0

2242199232 has 560 divisors, whose sum is σ = 8433409600. Its totient is φ = 585252864.

The previous prime is 2242199213. The next prime is 2242199237. The reversal of 2242199232 is 2329912422.

It is a happy number.

It is a super-3 number, since 3×22421992323 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (2242199237) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23115408 + ... + 23115504.

It is an arithmetic number, because the mean of its divisors is an integer number (15059660).

Almost surely, 22242199232 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 2242199232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4216704800).

2242199232 is an abundant number, since it is smaller than the sum of its proper divisors (6191210368).

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

2242199232 is an equidigital number, since it uses as much as digits as its factorization.

2242199232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 122 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 2242199232 is about 47351.8661934247. The cubic root of 2242199232 is about 1308.8545884019.

The spelling of 2242199232 in words is "two billion, two hundred forty-two million, one hundred ninety-nine thousand, two hundred thirty-two".