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222742436 = 2272891132
BaseRepresentation
bin11010100011011…
…00011110100100
3120112010111011212
431101230132210
5424010224221
634034050552
75343164600
oct1521543644
9515114155
10222742436
11104806764
1262719a58
13371baa77
1421822500
151484cb5b
hexd46c7a4

222742436 has 54 divisors (see below), whose sum is σ = 462628530. Its totient is φ = 93553152.

The previous prime is 222742427. The next prime is 222742439. The reversal of 222742436 is 634247222.

222742436 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 37945600 + 184796836 = 6160^2 + 13594^2 .

It is a super-2 number, since 2×2227424362 = 99228385590428192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (222742439) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1971116 + ... + 1971228.

It is an arithmetic number, because the mean of its divisors is an integer number (8567195).

Almost surely, 2222742436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222742436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231314265).

222742436 is an abundant number, since it is smaller than the sum of its proper divisors (239886094).

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

222742436 is a wasteful number, since it uses less digits than its factorization.

222742436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 211 counting only the distinct ones).

The product of its digits is 32256, while the sum is 32.

The square root of 222742436 is about 14924.5581509135. The cubic root of 222742436 is about 606.1791415253.

Adding to 222742436 its reverse (634247222), we get a palindrome (856989658).

The spelling of 222742436 in words is "two hundred twenty-two million, seven hundred forty-two thousand, four hundred thirty-six".

Divisors: 1 2 4 7 14 28 49 89 98 113 178 196 226 356 452 623 791 1246 1582 2492 3164 4361 5537 8722 10057 11074 12769 17444 20114 22148 25538 40228 51076 70399 89383 140798 178766 281596 357532 492793 625681 985586 1136441 1251362 1971172 2272882 2502724 4545764 7955087 15910174 31820348 55685609 111371218 222742436