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22420314 = 2347171163
BaseRepresentation
bin101010110000…
…1101101011010
31120012001220000
41111201231122
521214422224
62120313430
7361366230
oct125415532
946161800
1022420314
1111723794
127612876
13484cc77
142d98950
151e7d0c9
hex1561b5a

22420314 has 80 divisors (see below), whose sum is σ = 60844608. Its totient is φ = 6023808.

The previous prime is 22420313. The next prime is 22420327. The reversal of 22420314 is 41302422.

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

It is not an unprimeable number, because it can be changed into a prime (22420313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18697 + ... + 19859.

Almost surely, 222420314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22420314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30422304).

22420314 is an abundant number, since it is smaller than the sum of its proper divisors (38424294).

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

22420314 is a wasteful number, since it uses less digits than its factorization.

22420314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 22420314 is about 4735.0093980899. The cubic root of 22420314 is about 281.9771371234.

Adding to 22420314 its reverse (41302422), we get a palindrome (63722736).

The spelling of 22420314 in words is "twenty-two million, four hundred twenty thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 81 102 119 126 153 162 189 238 306 357 378 459 567 714 918 1071 1134 1163 1377 2142 2326 2754 3213 3489 6426 6978 8141 9639 10467 16282 19278 19771 20934 24423 31401 39542 48846 59313 62802 73269 94203 118626 138397 146538 177939 188406 219807 276794 355878 415191 439614 533817 659421 830382 1067634 1245573 1318842 1601451 2491146 3202902 3736719 7473438 11210157 22420314