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2242202500 = 22541137937
BaseRepresentation
bin1000010110100101…
…0100101110000100
312210021002200121001
42011221110232010
514043000440000
61010254103044
7106364256346
oct20551245604
95707080531
102242202500
11a50734a1a
12526aaaa84
132996b9855
14173b05296
15d1ca646a
hex85a54b84

2242202500 has 60 divisors (see below), whose sum is σ = 4947263244. Its totient is φ = 888832000.

The previous prime is 2242202497. The next prime is 2242202513. The reversal of 2242202500 is 52022422.

It can be written as a sum of positive squares in 10 ways, for example, as 1682312256 + 559890244 = 41016^2 + 23662^2 .

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 278532 + ... + 286468.

Almost surely, 22242202500 is an apocalyptic number.

2242202500 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 2242202500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2473631622).

2242202500 is an abundant number, since it is smaller than the sum of its proper divisors (2705060744).

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

2242202500 is a wasteful number, since it uses less digits than its factorization.

2242202500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8074 (or 8057 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

The square root of 2242202500 is about 47351.9007010278. The cubic root of 2242202500 is about 1308.8552242857.

Adding to 2242202500 its reverse (52022422), we get a palindrome (2294224922).

The spelling of 2242202500 in words is "two billion, two hundred forty-two million, two hundred two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 113 125 226 250 452 500 565 625 1130 1250 2260 2500 2825 5650 7937 11300 14125 15874 28250 31748 39685 56500 70625 79370 141250 158740 198425 282500 396850 793700 896881 992125 1793762 1984250 3587524 3968500 4484405 4960625 8968810 9921250 17937620 19842500 22422025 44844050 89688100 112110125 224220250 448440500 560550625 1121101250 2242202500