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22012212200022 = 2321117471072335581
BaseRepresentation
bin1010000000101000111100…
…00101101100001001010110
32212221100100220201101200100
411000110132011230021112
510341122002310400042
6114452134244554530
74431221065352442
oct500243605541126
985840326641610
1022012212200022
117017365a25510
1225761453b2a46
13c38986948c65
1456157a9a5822
152828c504d24c
hex14051e16c256

22012212200022 has 384 divisors, whose sum is σ = 57041250859008. Its totient is φ = 6059783577600.

The previous prime is 22012212199969. The next prime is 22012212200117. The reversal of 22012212200022 is 22000221221022.

22012212200022 is a `hidden beast` number, since 2 + 201 + 221 + 220 + 0 + 0 + 22 = 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 = 22012212199968 and 22012212200004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3944131272 + ... + 3944136852.

It is an arithmetic number, because the mean of its divisors is an integer number (148544924112).

Almost surely, 222012212200022 is an apocalyptic number.

22012212200022 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 22012212200022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28520625429504).

22012212200022 is an abundant number, since it is smaller than the sum of its proper divisors (35029038658986).

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

22012212200022 is a wasteful number, since it uses less digits than its factorization.

22012212200022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6004 (or 6001 counting only the distinct ones).

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

Adding to 22012212200022 its reverse (22000221221022), we get a palindrome (44012433421044).

The spelling of 22012212200022 in words is "twenty-two trillion, twelve billion, two hundred twelve million, two hundred thousand, twenty-two".