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22244133144222 = 232111011748963601
BaseRepresentation
bin1010000111011000111011…
…01001111000011010011110
32220202111222212220001121100
411003230131221320122132
510403421441041103342
6115150451431413530
74454041233015633
oct503543551703236
986674885801540
1022244133144222
1170a6758290530
1225b308b2242a6
13c547c72b7ba2
1456c89c28c18a
1528894aa94e4c
hex143b1da7869e

22244133144222 has 96 divisors (see below), whose sum is σ = 53101477709280. Its totient is φ = 6673420800000.

The previous prime is 22244133144179. The next prime is 22244133144241.

22244133144222 is a `hidden beast` number, since 2 + 2 + 2 + 4 + 413 + 3 + 14 + 4 + 222 = 666.

22244133144222 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 349713222 + ... + 349776822.

It is an arithmetic number, because the mean of its divisors is an integer number (553140392805).

Almost surely, 222244133144222 is an apocalyptic number.

22244133144222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22244133144222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26550738854640).

22244133144222 is an abundant number, since it is smaller than the sum of its proper divisors (30857344565058).

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

22244133144222 is a wasteful number, since it uses less digits than its factorization.

22244133144222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81210 (or 81207 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

It can be divided in two parts, 2224413 and 3144222, that added together give a palindrome (5368635).

The spelling of 22244133144222 in words is "twenty-two trillion, two hundred forty-four billion, one hundred thirty-three million, one hundred forty-four thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 101 198 202 303 606 909 1111 1818 2222 3333 6666 9999 17489 19998 34978 52467 63601 104934 127202 157401 190803 192379 314802 381606 384758 572409 577137 699611 1144818 1154274 1399222 1731411 1766389 2098833 3462822 3532778 4197666 5299167 6296499 6423701 10598334 12592998 12847402 15897501 19271103 19430279 31795002 38542206 38860558 57813309 58290837 70660711 115626618 116581674 141321422 174872511 211982133 349745022 423964266 635946399 1112317889 1271892798 2224635778 3336953667 6673907334 10010861001 12235496779 20021722002 24470993558 36706490337 73412980674 110119471011 112344106789 220238942022 224688213578 337032320367 674064640734 1011096961101 1235785174679 2022193922202 2471570349358 3707355524037 7414711048074 11122066572111 22244133144222