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222421040 = 245231091109
BaseRepresentation
bin11010100000111…
…10000000110000
3120111112011022022
431100132000300
5423414433130
634023131012
75340355562
oct1520360060
9514464268
10222421040
11104607246
12625a3a68
13371076aa
142177b332
15147d77e5
hexd41e030

222421040 has 80 divisors (see below), whose sum is σ = 545054400. Its totient is φ = 84243456.

The previous prime is 222421027. The next prime is 222421093. The reversal of 222421040 is 40124222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2224210402 = 98942238069363200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200006 + ... + 201114.

It is an arithmetic number, because the mean of its divisors is an integer number (6813180).

Almost surely, 2222421040 is an apocalyptic number.

222421040 is a gapful number since it is divisible by the number (20) 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 222421040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272527200).

222421040 is an abundant number, since it is smaller than the sum of its proper divisors (322633360).

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

222421040 is a wasteful number, since it uses less digits than its factorization.

222421040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 222421040 is about 14913.7869101044. The cubic root of 222421040 is about 605.8874483722.

Adding to 222421040 its reverse (40124222), we get a palindrome (262545262).

The spelling of 222421040 in words is "two hundred twenty-two million, four hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 109 115 184 218 230 368 436 460 545 872 920 1090 1109 1744 1840 2180 2218 2507 4360 4436 5014 5545 8720 8872 10028 11090 12535 17744 20056 22180 25070 25507 40112 44360 50140 51014 88720 100280 102028 120881 127535 200560 204056 241762 255070 408112 483524 510140 604405 967048 1020280 1208810 1934096 2040560 2417620 2780263 4835240 5560526 9670480 11121052 13901315 22242104 27802630 44484208 55605260 111210520 222421040