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2221021022022 = 2321147467511061
BaseRepresentation
bin100000010100011111001…
…010110100011101000110
321212022211202220002121200
4200110133022310131012
5242342122340201042
64420153432323330
7316314654123405
oct40243712643506
97768752802550
102221021022022
11786a25512a60
122ba547543546
131315979489ca
14796d86b763c
153cb91b52c4c
hex2051f2b4746

2221021022022 has 96 divisors (see below), whose sum is σ = 5372872487424. Its totient is φ = 657304929600.

The previous prime is 2221021022009. The next prime is 2221021022063. The reversal of 2221021022022 is 2202201201222.

2221021022022 is a `hidden beast` number, since 2 + 2 + 210 + 210 + 220 + 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 = 2221021021986 and 2221021022004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4090372 + ... + 4601432.

It is an arithmetic number, because the mean of its divisors is an integer number (55967421744).

Almost surely, 22221021022022 is an apocalyptic number.

2221021022022 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 2221021022022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2686436243712).

2221021022022 is an abundant number, since it is smaller than the sum of its proper divisors (3151851465402).

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

2221021022022 is a wasteful number, since it uses less digits than its factorization.

2221021022022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511594 (or 511591 counting only the distinct ones).

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

Adding to 2221021022022 its reverse (2202201201222), we get a palindrome (4423222223244).

The spelling of 2221021022022 in words is "two trillion, two hundred twenty-one billion, twenty-one million, twenty-two thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 47 66 94 99 141 198 282 423 467 517 846 934 1034 1401 1551 2802 3102 4203 4653 5137 8406 9306 10274 15411 21949 30822 43898 46233 65847 92466 131694 197541 241439 395082 482878 511061 724317 1022122 1448634 1533183 2172951 3066366 4345902 4599549 5621671 9199098 11243342 16865013 24019867 33730026 48039734 50595039 72059601 101190078 144119202 216178803 238665487 264218537 432357606 477330974 528437074 715996461 792655611 1431992922 1585311222 2147989383 2377966833 2625320357 4295978766 4755933666 5250640714 7875961071 11217277889 15751922142 22434555778 23627883213 33651833667 47255766426 67303667334 100955501001 123390056779 201911002002 246780113558 370170170337 740340340674 1110510511011 2221021022022