Search a number
-
+
22468424 = 23111723653
BaseRepresentation
bin101010110110…
…1011101001000
31120021111212212
41111231131020
521222442144
62121324252
7361656416
oct125553510
946244785
1022468424
1111756950
127636688
134868b34
142dac2b6
151e8c49e
hex156d748

22468424 has 64 divisors (see below), whose sum is σ = 50855040. Its totient is φ = 9180160.

The previous prime is 22468421. The next prime is 22468463. The reversal of 22468424 is 42486422.

It is not an unprimeable number, because it can be changed into a prime (22468421) 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 15 ways as a sum of consecutive naturals, for example, 34082 + ... + 34734.

It is an arithmetic number, because the mean of its divisors is an integer number (794610).

Almost surely, 222468424 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 22468424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25427520).

22468424 is an abundant number, since it is smaller than the sum of its proper divisors (28386616).

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

22468424 is a wasteful number, since it uses less digits than its factorization.

22468424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 706 counting only the distinct ones).

The product of its digits is 24576, while the sum is 32.

The square root of 22468424 is about 4740.0869190343. The cubic root of 22468424 is about 282.1786839329.

Adding to 22468424 its sum of digits (32), we get a triangular number (22468456 = T6703).

The spelling of 22468424 in words is "twenty-two million, four hundred sixty-eight thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 17 22 23 34 44 46 68 88 92 136 184 187 253 374 391 506 653 748 782 1012 1306 1496 1564 2024 2612 3128 4301 5224 7183 8602 11101 14366 15019 17204 22202 28732 30038 34408 44404 57464 60076 88808 120152 122111 165209 244222 255323 330418 488444 510646 660836 976888 1021292 1321672 2042584 2808553 5617106 11234212 22468424