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22421412 = 223213232083
BaseRepresentation
bin101010110000…
…1111110100100
31120012010101200
41111201332210
521214441122
62120322500
7361402356
oct125417644
946163350
1022421412
11117245a2
127613430
134850610
142d990d6
151e7d5ac
hex1561fa4

22421412 has 72 divisors (see below), whose sum is σ = 63720384. Its totient is φ = 6595776.

The previous prime is 22421411. The next prime is 22421423. The reversal of 22421412 is 21412422.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (22421411) 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 23 ways as a sum of consecutive naturals, for example, 9723 + ... + 11805.

Almost surely, 222421412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22421412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31860192).

22421412 is an abundant number, since it is smaller than the sum of its proper divisors (41298972).

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

22421412 is a wasteful number, since it uses less digits than its factorization.

22421412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2129 (or 2124 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 22421412 is about 4735.1253415300. The cubic root of 22421412 is about 281.9817401788.

Adding to 22421412 its reverse (21412422), we get a palindrome (43833834).

The spelling of 22421412 in words is "twenty-two million, four hundred twenty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 36 39 46 52 69 78 92 117 138 156 207 234 276 299 414 468 598 828 897 1196 1794 2083 2691 3588 4166 5382 6249 8332 10764 12498 18747 24996 27079 37494 47909 54158 74988 81237 95818 108316 143727 162474 191636 243711 287454 324948 431181 487422 574908 622817 862362 974844 1245634 1724724 1868451 2491268 3736902 5605353 7473804 11210706 22421412