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222242112 = 2632385837
BaseRepresentation
bin11010011111100…
…10010101000000
3120111012001212100
431033302111000
5423343221422
634015230400
75336012121
oct1517622500
9514161770
10222242112
111044a4874
1262518400
1337074111
1421732048
151479e7ac
hexd3f2540

222242112 has 42 divisors (see below), whose sum is σ = 637018538. Its totient is φ = 74080512.

The previous prime is 222242087. The next prime is 222242113. The reversal of 222242112 is 211242222.

It can be written as a sum of positive squares in only one way, i.e., 222129216 + 112896 = 14904^2 + 336^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222242113) 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 5 ways as a sum of consecutive naturals, for example, 192343 + ... + 193494.

Almost surely, 2222242112 is an apocalyptic number.

It is an amenable number.

222242112 is an abundant number, since it is smaller than the sum of its proper divisors (414776426).

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

222242112 is a wasteful number, since it uses less digits than its factorization.

222242112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385855 (or 385842 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 222242112 is about 14907.7869584992. The cubic root of 222242112 is about 605.7249348007.

Adding to 222242112 its reverse (211242222), we get a palindrome (433484334).

It can be divided in two parts, 22224 and 2112, that added together give a square (24336 = 1562).

The spelling of 222242112 in words is "two hundred twenty-two million, two hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 385837 771674 1157511 1543348 2315022 3086696 3472533 4630044 6173392 6945066 9260088 12346784 13890132 18520176 24693568 27780264 37040352 55560528 74080704 111121056 222242112