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22001222210022 = 232111719936139091
BaseRepresentation
bin1010000000010100011110…
…00010001101000111100110
32212220022000000010001120200
411000022033002031013212
510340432000341210042
6114443115535211330
74430351540110326
oct500121702150746
985808000101520
1022001222210022
117012736404350
122573b98976b46
13c37924b178b3
14560c1717d286
152824802d9c4c
hex14028f08d1e6

22001222210022 has 192 divisors, whose sum is σ = 55359980582400. Its totient is φ = 6240911846400.

The previous prime is 22001222209943. The next prime is 22001222210029.

22001222210022 is nontrivially palindromic in base 10.

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 = 22001222209977 and 22001222210004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22001222210029) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2420105697 + ... + 2420114787.

It is an arithmetic number, because the mean of its divisors is an integer number (288333232200).

Almost surely, 222001222210022 is an apocalyptic number.

22001222210022 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 22001222210022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27679990291200).

22001222210022 is an abundant number, since it is smaller than the sum of its proper divisors (33358758372378).

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

22001222210022 is a wasteful number, since it uses less digits than its factorization.

22001222210022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12939 (or 12936 counting only the distinct ones).

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

It can be divided in two parts, 2200122 and 2210022, that added together give a palindrome (4410144).

The spelling of 22001222210022 in words is "twenty-two trillion, one billion, two hundred twenty-two million, two hundred ten thousand, twenty-two".