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22102002 = 23213293257
BaseRepresentation
bin101010001001…
…1111111110010
31112120220020200
41110103333302
521124231002
62105420030
7355602216
oct124237762
945526220
1022102002
111152661a
12749a616
13476b110
142d14946
151e18b1c
hex1513ff2

22102002 has 48 divisors (see below), whose sum is σ = 53366040. Its totient is φ = 6564096.

The previous prime is 22101979. The next prime is 22102013. The reversal of 22102002 is 20020122.

It can be written as a sum of positive squares in 4 ways, for example, as 19105641 + 2996361 = 4371^2 + 1731^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5158 + ... + 8414.

Almost surely, 222102002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22102002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26683020).

22102002 is an abundant number, since it is smaller than the sum of its proper divisors (31264038).

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

22102002 is a wasteful number, since it uses less digits than its factorization.

22102002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3307 (or 3304 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 22102002 is about 4701.2766351280. The cubic root of 22102002 is about 280.6363164435.

Adding to 22102002 its reverse (20020122), we get a palindrome (42122124).

The spelling of 22102002 in words is "twenty-two million, one hundred two thousand, two".

Divisors: 1 2 3 6 9 13 18 26 29 39 58 78 87 117 174 234 261 377 522 754 1131 2262 3257 3393 6514 6786 9771 19542 29313 42341 58626 84682 94453 127023 188906 254046 283359 381069 566718 762138 850077 1227889 1700154 2455778 3683667 7367334 11051001 22102002