Search a number
-
+
22431420 = 223251111329
BaseRepresentation
bin101010110010…
…0011010111100
31120012122010100
41111210122330
521220301140
62120441100
7361443504
oct125443274
946178110
1022431420
1111731070
127619190
13485503b
142d9ca04
151e81530
hex15646bc

22431420 has 72 divisors (see below), whose sum is σ = 74234160. Its totient is φ = 5437440.

The previous prime is 22431391. The next prime is 22431427. The reversal of 22431420 is 2413422.

22431420 is a `hidden beast` number, since 2 + 243 + 1 + 420 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 22431393 and 22431402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22431427) 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, 3685 + ... + 7644.

It is an arithmetic number, because the mean of its divisors is an integer number (1031030).

Almost surely, 222431420 is an apocalyptic number.

22431420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22431420 is an abundant number, since it is smaller than the sum of its proper divisors (51802740).

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

22431420 is a wasteful number, since it uses less digits than its factorization.

22431420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11355 (or 11350 counting only the distinct ones).

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

The square root of 22431420 is about 4736.1820066378. The cubic root of 22431420 is about 282.0236889712.

Adding to 22431420 its reverse (2413422), we get a palindrome (24844842).

It can be divided in two parts, 2243 and 1420, that added together give a palindrome (3663).

The spelling of 22431420 in words is "twenty-two million, four hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 11329 22658 33987 45316 56645 67974 101961 113290 124619 135948 169935 203922 226580 249238 339870 373857 407844 498476 509805 623095 679740 747714 1019610 1121571 1246190 1495428 1869285 2039220 2243142 2492380 3738570 4486284 5607855 7477140 11215710 22431420