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2242256500 = 2253111943499
BaseRepresentation
bin1000010110100110…
…0001111001110100
312210021012102200001
42011221201321310
514043004202000
61010255201044
7106364602651
oct20551417164
95707172601
102242256500
11a50771550
12526b16184
132997082c3
14173b1ac28
15d1cb746a
hex85a61e74

2242256500 has 192 divisors, whose sum is σ = 5765760000. Its totient is φ = 752976000.

The previous prime is 2242256441. The next prime is 2242256551. The reversal of 2242256500 is 56522422.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4493251 + ... + 4493749.

It is an arithmetic number, because the mean of its divisors is an integer number (30030000).

Almost surely, 22242256500 is an apocalyptic number.

2242256500 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 2242256500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2882880000).

2242256500 is an abundant number, since it is smaller than the sum of its proper divisors (3523503500).

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

2242256500 is a wasteful number, since it uses less digits than its factorization.

2242256500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 2242256500 is about 47352.4708964590. The cubic root of 2242256500 is about 1308.8657314567.

Adding to 2242256500 its reverse (56522422), we get a palindrome (2298778922).

The spelling of 2242256500 in words is "two billion, two hundred forty-two million, two hundred fifty-six thousand, five hundred".