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22225242 = 2313833433
BaseRepresentation
bin101010011001…
…0000101011010
31112211011022010
41110302011122
521142201432
62112210350
7356624424
oct124620532
945734263
1022225242
1111600176
1275399b6
1347b2240
142d47814
151e403cc
hex153215a

22225242 has 32 divisors (see below), whose sum is σ = 48460608. Its totient is φ = 6754176.

The previous prime is 22225211. The next prime is 22225277. The reversal of 22225242 is 24252222.

It is a super-2 number, since 2×222252422 = 987922763917128, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4758 + ... + 8190.

It is an arithmetic number, because the mean of its divisors is an integer number (1514394).

Almost surely, 222225242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22225242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24230304).

22225242 is an abundant number, since it is smaller than the sum of its proper divisors (26235366).

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

22225242 is a wasteful number, since it uses less digits than its factorization.

22225242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3534.

The product of its digits is 1280, while the sum is 21.

The square root of 22225242 is about 4714.3654928315. The cubic root of 22225242 is about 281.1569560865.

Adding to 22225242 its reverse (24252222), we get a palindrome (46477464).

The spelling of 22225242 in words is "twenty-two million, two hundred twenty-five thousand, two hundred forty-two".

Divisors: 1 2 3 6 13 26 39 78 83 166 249 498 1079 2158 3237 3433 6474 6866 10299 20598 44629 89258 133887 267774 284939 569878 854817 1709634 3704207 7408414 11112621 22225242