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22243233234222 = 23271113171011993613
BaseRepresentation
bin1010000111010111010000…
…00000111111110100101110
32220202102200011112220011100
411003223220000333310232
510403413120201443342
6115150222243303530
74454010024633420
oct503535000776456
986672604486140
1022243233234222
1170a633630a860
1225b2a7997aba6
13c546b2a23470
1456c814956810
152888e6a84e4c
hex143ae803fd2e

22243233234222 has 768 divisors, whose sum is σ = 69559218892800. Its totient is φ = 4943296512000.

The previous prime is 22243233234221. The next prime is 22243233234251.

It is a happy number.

22243233234222 is a `hidden beast` number, since 2 + 2 + 2 + 4 + 323 + 323 + 4 + 2 + 2 + 2 = 666.

22243233234222 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×222432332342222 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22243233234221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6156442488 + ... + 6156446100.

It is an arithmetic number, because the mean of its divisors is an integer number (90571899600).

Almost surely, 222243233234222 is an apocalyptic number.

22243233234222 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 22243233234222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34779609446400).

22243233234222 is an abundant number, since it is smaller than the sum of its proper divisors (47315985658578).

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

22243233234222 is a wasteful number, since it uses less digits than its factorization.

22243233234222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3969 (or 3966 counting only the distinct ones).

The product of its digits is 331776, while the sum is 36.

It can be divided in two parts, 2224323 and 3234222, that added together give a palindrome (5458545).

The spelling of 22243233234222 in words is "twenty-two trillion, two hundred forty-three billion, two hundred thirty-three million, two hundred thirty-four thousand, two hundred twenty-two".