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22211020020222 = 232111131321775109
BaseRepresentation
bin1010000110011011001111…
…11101010101100111111110
32220122100112011201001221100
411003031213331111213332
510402401132111121342
6115123333550313530
74451456532061545
oct503154775254776
986570464631840
1022211020020222
117093705841350
1225a87897b88a6
13c5164ac812a7
1456b03a5d115c
15287b5d9cde4c
hex143367f559fe

22211020020222 has 96 divisors (see below), whose sum is σ = 52968077940960. Its totient is φ = 6670455644160.

The previous prime is 22211020020193. The next prime is 22211020020223. The reversal of 22211020020222 is 22202002011222.

22211020020222 is a `hidden beast` number, since 2 + 221 + 1 + 0 + 200 + 20 + 222 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22211020020195 and 22211020020204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22211020020223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 295679604 + ... + 295754712.

It is an arithmetic number, because the mean of its divisors is an integer number (551750811885).

Almost surely, 222211020020222 is an apocalyptic number.

22211020020222 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 22211020020222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26484038970480).

22211020020222 is an abundant number, since it is smaller than the sum of its proper divisors (30757057920738).

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

22211020020222 is a wasteful number, since it uses less digits than its factorization.

22211020020222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88458 (or 88455 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22211020020222 its reverse (22202002011222), we get a palindrome (44413022031444).

The spelling of 22211020020222 in words is "twenty-two trillion, two hundred eleven billion, twenty million, twenty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 113 198 226 339 678 1017 1243 2034 2486 3729 7458 11187 13217 22374 26434 39651 75109 79302 118953 145387 150218 225327 237906 290774 436161 450654 675981 826199 872322 1308483 1351962 1493521 1652398 2478597 2616966 2987042 4480563 4957194 7435791 8487317 8961126 13441689 14871582 16428731 16974634 25461951 26883378 32857462 49286193 50923902 76385853 93360487 98572386 147858579 152771706 186720974 280081461 295717158 560162922 840244383 992715653 1680488766 1985431306 2978146959 5956293918 8934440877 10919872183 17868881754 21839744366 32759616549 65519233098 98278849647 112176868789 196557699294 224353737578 336530606367 673061212734 1009591819101 1233945556679 2019183638202 2467891113358 3701836670037 7403673340074 11105510010111 22211020020222