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22102146 = 2341179157
BaseRepresentation
bin101010001010…
…0000010000010
31112120220110000
41110110002002
521124232041
62105420430
7355602513
oct124240202
945526400
1022102146
1111526740
12749a716
13476b1c1
142d14a0a
151e18bb6
hex1514082

22102146 has 80 divisors (see below), whose sum is σ = 55059840. Its totient is φ = 6570720.

The previous prime is 22102139. The next prime is 22102151. The reversal of 22102146 is 64120122.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 140700 + ... + 140856.

It is an arithmetic number, because the mean of its divisors is an integer number (688248).

Almost surely, 222102146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22102146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27529920).

22102146 is an abundant number, since it is smaller than the sum of its proper divisors (32957694).

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

22102146 is a wasteful number, since it uses less digits than its factorization.

22102146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 252 counting only the distinct ones).

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

The square root of 22102146 is about 4701.2919500920. The cubic root of 22102146 is about 280.6369259138.

Adding to 22102146 its reverse (64120122), we get a palindrome (86222268).

It can be divided in two parts, 2210 and 2146, that added together give a square (4356 = 662).

The spelling of 22102146 in words is "twenty-two million, one hundred two thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 79 81 99 157 158 162 198 237 297 314 471 474 594 711 869 891 942 1413 1422 1727 1738 1782 2133 2607 2826 3454 4239 4266 5181 5214 6399 7821 8478 10362 12403 12717 12798 15543 15642 23463 24806 25434 31086 37209 46629 46926 70389 74418 93258 111627 136433 139887 140778 223254 272866 279774 334881 409299 669762 818598 1004643 1227897 2009286 2455794 3683691 7367382 11051073 22102146