Search a number
-
+
222422560 = 2551781773
BaseRepresentation
bin11010100000111…
…10011000100000
3120111112020101121
431100132120200
5423420010220
634023142024
75340363163
oct1520363040
9514466347
10222422560
111046083a8
12625a4914
13371082a9
142177bada
15147d7eaa
hexd41e620

222422560 has 48 divisors (see below), whose sum is σ = 556390296. Its totient is φ = 83734528.

The previous prime is 222422549. The next prime is 222422567. The reversal of 222422560 is 65224222.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 216796176 + 5626384 = 14724^2 + 2372^2 .

It is not an unprimeable number, because it can be changed into a prime (222422567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38167 + ... + 43606.

Almost surely, 2222422560 is an apocalyptic number.

222422560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222422560 is an abundant number, since it is smaller than the sum of its proper divisors (333967736).

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

222422560 is a wasteful number, since it uses less digits than its factorization.

222422560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81805 (or 81797 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 222422560 is about 14913.8378695760. The cubic root of 222422560 is about 605.8888285576. Note that the first 4 decimals are identical.

Adding to 222422560 its reverse (65224222), we get a palindrome (287646782).

The spelling of 222422560 in words is "two hundred twenty-two million, four hundred twenty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 81773 163546 327092 408865 654184 817730 1308368 1390141 1635460 2616736 2780282 3270920 5560564 6541840 6950705 11121128 13083680 13901410 22242256 27802820 44484512 55605640 111211280 222422560