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2242889130 = 235599771297
BaseRepresentation
bin1000010110101111…
…1100010110101010
312210022101120110210
42011223330112222
514043134423010
61010320521550
7106403146236
oct20553742652
95708346423
102242889130
11a51063889
125271802b6
1329989a241
14173c435c6
15d1d8eb20
hex85afc5aa

2242889130 has 64 divisors (see below), whose sum is σ = 5483998080. Its totient is φ = 586911744.

The previous prime is 2242889107. The next prime is 2242889141. The reversal of 2242889130 is 319882422.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1728642 + ... + 1729938.

It is an arithmetic number, because the mean of its divisors is an integer number (85687470).

Almost surely, 22242889130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2242889130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2741999040).

2242889130 is an abundant number, since it is smaller than the sum of its proper divisors (3241108950).

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

2242889130 is a wasteful number, since it uses less digits than its factorization.

2242889130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2343.

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 2242889130 is about 47359.1504357922. The cubic root of 2242889130 is about 1308.9888142926.

The spelling of 2242889130 in words is "two billion, two hundred forty-two million, eight hundred eighty-nine thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 59 118 177 295 354 590 885 977 1297 1770 1954 2594 2931 3891 4885 5862 6485 7782 9770 12970 14655 19455 29310 38910 57643 76523 115286 153046 172929 229569 288215 345858 382615 459138 576430 765230 864645 1147845 1267169 1729290 2295690 2534338 3801507 6335845 7603014 12671690 19007535 38015070 74762971 149525942 224288913 373814855 448577826 747629710 1121444565 2242889130