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2242258228 = 22738571907
BaseRepresentation
bin1000010110100110…
…0010010100110100
312210021012112001001
42011221202110310
514043004230403
61010255213044
7106364611000
oct20551422464
95707175031
102242258228
11a50772881
12526b17184
13299709022
14173b1b700
15d1cb7c1d
hex85a62534

2242258228 has 48 divisors (see below), whose sum is σ = 4583779200. Its totient is φ = 959343168.

The previous prime is 2242258223. The next prime is 2242258259. The reversal of 2242258228 is 8228522422.

It is a happy number.

It is a super-2 number, since 2×22422582282 = 10055443922067399968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242258223) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1174851 + ... + 1176757.

It is an arithmetic number, because the mean of its divisors is an integer number (95495400).

Almost surely, 22242258228 is an apocalyptic number.

2242258228 is a gapful number since it is divisible by the number (28) 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 2242258228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2291889600).

2242258228 is an abundant number, since it is smaller than the sum of its proper divisors (2341520972).

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

2242258228 is a wasteful number, since it uses less digits than its factorization.

2242258228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2789 (or 2773 counting only the distinct ones).

The product of its digits is 81920, while the sum is 37.

The square root of 2242258228 is about 47352.4891425995. The cubic root of 2242258228 is about 1308.8660676834.

The spelling of 2242258228 in words is "two billion, two hundred forty-two million, two hundred fifty-eight thousand, two hundred twenty-eight".

Divisors: 1 2 4 7 14 28 49 98 196 343 686 857 1372 1714 1907 3428 3814 5999 7628 11998 13349 23996 26698 41993 53396 83986 93443 167972 186886 293951 373772 587902 654101 1175804 1308202 1634299 2616404 3268598 6537196 11440093 22880186 45760372 80080651 160161302 320322604 560564557 1121129114 2242258228