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22212001110112 = 25112231058926723
BaseRepresentation
bin1010000110011101000100…
…11011111001100001100000
32220122110001112210121020221
411003032202123321201200
510402410134241010422
6115124015154412424
74451523044153122
oct503164233714140
986573045717227
1022212001110112
117094069619740
1225a8a02291114
13c517762ca158
1456b0d0a19212
15287bb9bc73c7
hex1433a26f9860

22212001110112 has 96 divisors (see below), whose sum is σ = 47925564503040. Its totient is φ = 10049763678720.

The previous prime is 22212001110107. The next prime is 22212001110113. The reversal of 22212001110112 is 21101110021222.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22212001110113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 831180783 + ... + 831207505.

It is an arithmetic number, because the mean of its divisors is an integer number (499224630240).

Almost surely, 222212001110112 is an apocalyptic number.

22212001110112 is a gapful number since it is divisible by the number (22) 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 22212001110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23962782251520).

22212001110112 is an abundant number, since it is smaller than the sum of its proper divisors (25713563392928).

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

22212001110112 is a wasteful number, since it uses less digits than its factorization.

22212001110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37556 (or 37548 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 22212001110112 its reverse (21101110021222), we get a palindrome (43313111131334).

The spelling of 22212001110112 in words is "twenty-two trillion, two hundred twelve billion, one million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 223 352 446 892 1784 2453 3568 4906 7136 9812 10589 19624 21178 26723 39248 42356 53446 78496 84712 106892 116479 169424 213784 232958 293953 338848 427568 465916 587906 855136 931832 1175812 1863664 2351624 2361347 3727328 4703248 4722694 5959229 9406496 9445388 11918458 18890776 23836916 25974817 37781552 47673832 51949634 65551519 75563104 95347664 103899268 131103038 190695328 207798536 262206076 282969847 415597072 524412152 565939694 831194144 1048824304 1131879388 2097648608 2263758776 3112668317 4527517552 6225336634 9055035104 12450673268 24901346536 49802693072 63102275881 99605386144 126204551762 252409103524 504818207048 694125034691 1009636414096 1388250069382 2019272828192 2776500138764 5553000277528 11106000555056 22212001110112