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2242504100 = 225222425041
BaseRepresentation
bin1000010110101001…
…1110010110100100
312210021200000022102
42011222132112210
514043040112400
61010304351232
7106366653554
oct20552362644
95707600272
102242504100
11a50920581
12527015518
13299793c05
14173b83164
15d1d159d5
hex85a9e5a4

2242504100 has 18 divisors (see below), whose sum is σ = 4866234114. Its totient is φ = 897001600.

The previous prime is 2242504093. The next prime is 2242504183. The reversal of 2242504100 is 14052422.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 100480576 + 2142023524 = 10024^2 + 46282^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11212421 + ... + 11212620.

Almost surely, 22242504100 is an apocalyptic number.

2242504100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2242504100 is an abundant number, since it is smaller than the sum of its proper divisors (2623730014).

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

2242504100 is a wasteful number, since it uses less digits than its factorization.

2242504100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22425055 (or 22425048 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 2242504100 is about 47355.0852601914. The cubic root of 2242504100 is about 1308.9139066212.

Adding to 2242504100 its reverse (14052422), we get a palindrome (2256556522).

The spelling of 2242504100 in words is "two billion, two hundred forty-two million, five hundred four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 22425041 44850082 89700164 112125205 224250410 448500820 560626025 1121252050 2242504100