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22426434 = 2321783883
BaseRepresentation
bin101010110001…
…1001101000010
31120012101021200
41111203031002
521220121214
62120402030
7361423122
oct125431502
946171250
1022426434
1111728348
127616316
1348529a4
142d9ac82
151e7ed09
hex1563342

22426434 has 48 divisors (see below), whose sum is σ = 52127712. Its totient is φ = 6943104.

The previous prime is 22426421. The next prime is 22426457. The reversal of 22426434 is 43462422.

22426434 is a `hidden beast` number, since 224 + 2 + 6 + 434 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 22426398 and 22426407.

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 23 ways as a sum of consecutive naturals, for example, 24957 + ... + 25839.

It is an arithmetic number, because the mean of its divisors is an integer number (1085994).

Almost surely, 222426434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22426434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26063856).

22426434 is an abundant number, since it is smaller than the sum of its proper divisors (29701278).

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

22426434 is a wasteful number, since it uses less digits than its factorization.

22426434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 988 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 22426434 is about 4735.6556040320. The cubic root of 22426434 is about 282.0027915824.

Adding to 22426434 its reverse (43462422), we get a palindrome (65888856).

The spelling of 22426434 in words is "twenty-two million, four hundred twenty-six thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 34 51 83 102 153 166 249 306 498 747 883 1411 1494 1766 2649 2822 4233 5298 7947 8466 12699 15011 15894 25398 30022 45033 73289 90066 135099 146578 219867 270198 439734 659601 1245913 1319202 2491826 3737739 7475478 11213217 22426434