Search a number
-
+
22221144112222 = 21173791371278419
BaseRepresentation
bin1010000110101110000110…
…11001101011110001011110
32220200022122201222020021201
411003113003121223301132
510403032400343042342
6115132130324550114
74452265444330006
oct503270331536136
986608581866251
1022221144112222
117097a30602530
1225aa73425233a
13c525a2599083
1456b71b017006
152880526eedb7
hex1435c366bc5e

22221144112222 has 64 divisors (see below), whose sum is σ = 37599048115200. Its totient is φ = 9764249863680.

The previous prime is 22221144112207. The next prime is 22221144112283.

It is a happy number.

22221144112222 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×222211441122222 (a number of 27 digits) contains 22 as substring.

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16742529 + ... + 18020947.

It is an arithmetic number, because the mean of its divisors is an integer number (587485126800).

Almost surely, 222221144112222 is an apocalyptic number.

22221144112222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22221144112222 is a deficient number, since it is larger than the sum of its proper divisors (15377904002978).

22221144112222 is a wasteful number, since it uses less digits than its factorization.

22221144112222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278721.

The product of its digits is 4096, while the sum is 28.

It can be divided in two parts, 2222114 and 4112222, that added together give a palindrome (6334336).

The spelling of 22221144112222 in words is "twenty-two trillion, two hundred twenty-one billion, one hundred forty-four million, one hundred twelve thousand, two hundred twenty-two".

Divisors: 1 2 11 22 73 79 137 146 158 274 803 869 1507 1606 1738 3014 5767 10001 10823 11534 20002 21646 63437 110011 119053 126874 220022 238106 790079 1278419 1580158 2556838 8690869 14062609 17381738 28125218 93324587 100995101 175143403 186649174 201990202 350286806 1026570457 1110946111 1926577433 2053140914 2221892222 3853154866 7372642373 12785468419 13836328837 14745284746 25570936838 27672657674 81099066103 140640152609 152199617207 162198132206 281280305218 304399234414 1010052005101 2020104010202 11110572056111 22221144112222