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106221222 = 232234753103
BaseRepresentation
bin1100101010011…
…00111010100110
321101212121010100
412111030322212
5204143034342
614312404530
72426602602
oct625147246
9241777110
10106221222
1154a60638
122b6a6746
13190113c3
1410170502
1594d2e4c
hex654cea6

106221222 has 96 divisors (see below), whose sum is σ = 252315648. Its totient is φ = 32205888.

The previous prime is 106221209. The next prime is 106221259. The reversal of 106221222 is 222122601.

106221222 is a `hidden beast` number, since 10 + 622 + 12 + 22 = 666.

It is a super-2 number, since 2×1062212222 = 22565896006346568, which 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 = 106221195 and 106221204.

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, 1031223 + ... + 1031325.

It is an arithmetic number, because the mean of its divisors is an integer number (2628288).

Almost surely, 2106221222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106221222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126157824).

106221222 is an abundant number, since it is smaller than the sum of its proper divisors (146094426).

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

106221222 is a wasteful number, since it uses less digits than its factorization.

106221222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 106221222 is about 10306.3680314648. The cubic root of 106221222 is about 473.5913531861.

Adding to 106221222 its reverse (222122601), we get a palindrome (328343823).

The spelling of 106221222 in words is "one hundred six million, two hundred twenty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 46 47 53 69 94 103 106 138 141 159 206 207 282 309 318 414 423 477 618 846 927 954 1081 1219 1854 2162 2369 2438 2491 3243 3657 4738 4841 4982 5459 6486 7107 7314 7473 9682 9729 10918 10971 14214 14523 14946 16377 19458 21321 21942 22419 29046 32754 42642 43569 44838 49131 57293 87138 98262 111343 114586 125557 171879 222686 251114 256573 334029 343758 376671 513146 515637 668058 753342 769719 1002087 1031274 1130013 1539438 2004174 2260026 2309157 4618314 5901179 11802358 17703537 35407074 53110611 106221222