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22002121022022 = 2335917960763559
BaseRepresentation
bin1010000000010110001001…
…00110111001101001000110
32212220101022122101102212000
411000023010212321221012
510340440320440201042
6114443345044010130
74430413032640431
oct500130446715106
985811278342760
1022002121022022
1170130577a5089
1225741a9990946
13c37a390b660b
14560ca06aa818
152824d417e74c
hex1402c49b9a46

22002121022022 has 128 divisors (see below), whose sum is σ = 50083246080000. Its totient is φ = 7157532815136.

The previous prime is 22002121021939. The next prime is 22002121022083. The reversal of 22002121022022 is 22022012120022.

22002121022022 is a `hidden beast` number, since 2 + 200 + 212 + 10 + 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 = 22002121021986 and 22002121022004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 346136679 + ... + 346200237.

It is an arithmetic number, because the mean of its divisors is an integer number (391275360000).

Almost surely, 222002121022022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22002121022022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25041623040000).

22002121022022 is an abundant number, since it is smaller than the sum of its proper divisors (28081125057978).

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

22002121022022 is a wasteful number, since it uses less digits than its factorization.

22002121022022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64415 (or 64409 counting only the distinct ones).

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

Adding to 22002121022022 its reverse (22022012120022), we get a palindrome (44024133142044).

The spelling of 22002121022022 in words is "twenty-two trillion, two billion, one hundred twenty-one million, twenty-two thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 54 59 118 177 179 354 358 531 537 607 1062 1074 1214 1593 1611 1821 3186 3222 3642 4833 5463 9666 10561 10926 16389 21122 31683 32778 35813 63366 63559 71626 95049 107439 108653 127118 190098 190677 214878 217306 285147 322317 325959 381354 570294 572031 644634 651918 966951 977877 1144062 1716093 1933902 1955754 2933631 3432186 3749981 5867262 6410527 7499962 11249943 11377061 12821054 19231581 22499886 22754122 33749829 34131183 38463162 38580313 57694743 67499658 68262366 77160626 101249487 102393549 115389486 115740939 173084229 202498974 204787098 231481878 307180647 346168458 347222817 614361294 671246599 694445634 1041668451 1342493198 2013739797 2083336902 2276238467 4027479594 4552476934 6041219391 6828715401 6905876027 12082438782 13657430802 13811752054 18123658173 20486146203 20717628081 36247316346 40972292406 41435256162 61458438609 62152884243 122916877218 124305768486 186458652729 372917305458 407446685593 814893371186 1222340056779 2444680113558 3667020170337 7334040340674 11001060511011 22002121022022