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21122222022 = 232111572392843
BaseRepresentation
bin10011101010111110…
…111000011111000110
32000112001012001110100
4103222332320133012
5321224242101042
613411534304530
71345266632136
oct235276703706
960461161410
1021122222022
118a59a42040
124115958146
131cb8039235
14104536aac6
1583954124c
hex4eafb87c6

21122222022 has 96 divisors (see below), whose sum is σ = 50471216640. Its totient is φ = 6331066560.

The previous prime is 21122221973. The next prime is 21122222057. The reversal of 21122222022 is 22022222112.

It is a super-2 number, since 2×211222220222 (a number of 21 digits) contains 22 as substring.

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 = 21122221986 and 21122222004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7428133 + ... + 7430975.

It is an arithmetic number, because the mean of its divisors is an integer number (525741840).

Almost surely, 221122222022 is an apocalyptic number.

21122222022 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 21122222022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25235608320).

21122222022 is an abundant number, since it is smaller than the sum of its proper divisors (29348994618).

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

21122222022 is a wasteful number, since it uses less digits than its factorization.

21122222022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3258 (or 3255 counting only the distinct ones).

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

Adding to 21122222022 its reverse (22022222112), we get a palindrome (43144444134).

The spelling of 21122222022 in words is "twenty-one billion, one hundred twenty-two million, two hundred twenty-two thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 157 198 239 314 471 478 717 942 1413 1434 1727 2151 2629 2826 2843 3454 4302 5181 5258 5686 7887 8529 10362 15543 15774 17058 23661 25587 31086 31273 37523 47322 51174 62546 75046 93819 112569 187638 225138 281457 337707 412753 446351 562914 675414 679477 825506 892702 1238259 1339053 1358954 2038431 2476518 2678106 3714777 4017159 4076862 4909861 6115293 7429554 7474247 8034318 9819722 12230586 14729583 14948494 22422741 29459166 44188749 44845482 67268223 88377498 106677889 134536446 213355778 320033667 640067334 960101001 1173456779 1920202002 2346913558 3520370337 7040740674 10561111011 21122222022