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222444404104 = 231319255144129
BaseRepresentation
bin1100111100101010111…
…0000011110110001000
3210021011112101112210111
43033022232003312020
512121031231412404
6250104535324104
722033244144326
oct3171256036610
9707145345714
10222444404104
118637a0811aa
1237140220634
1317c9025ba70
14aaa2ca4d16
155bbdad8104
hex33cab83d88

222444404104 has 64 divisors (see below), whose sum is σ = 473002992000. Its totient is φ = 97222809600.

The previous prime is 222444404093. The next prime is 222444404173. The reversal of 222444404104 is 401404444222.

It is a happy number.

222444404104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5018712 + ... + 5062840.

It is an arithmetic number, because the mean of its divisors is an integer number (7390671750).

Almost surely, 2222444404104 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 222444404104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236501496000).

222444404104 is an abundant number, since it is smaller than the sum of its proper divisors (250558587896).

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

222444404104 is a wasteful number, since it uses less digits than its factorization.

222444404104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46718 (or 46714 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 31.

Adding to 222444404104 its reverse (401404444222), we get a palindrome (623848848326).

The spelling of 222444404104 in words is "two hundred twenty-two billion, four hundred forty-four million, four hundred four thousand, one hundred four".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 152 247 494 988 1976 2551 5102 10204 20408 33163 44129 48469 66326 88258 96938 132652 176516 193876 265304 353032 387752 573677 630097 838451 1147354 1260194 1676902 2294708 2520388 3353804 4589416 5040776 6707608 10899863 21799726 43599452 87198904 112573079 225146158 450292316 900584632 1463450027 2138888501 2926900054 4277777002 5853800108 8555554004 11707600216 17111108008 27805550513 55611101026 111222202052 222444404104