Search a number
-
+
22358420 = 2257295507
BaseRepresentation
bin101010101001…
…0100110010100
31120001220222122
41111102212110
521210432140
62115115112
7361020620
oct125224624
946056878
1022358420
1111691237
1275a2a98
13482aa46
142d80180
151e69ab5
hex1552994

22358420 has 48 divisors (see below), whose sum is σ = 55520640. Its totient is φ = 7400064.

The previous prime is 22358411. The next prime is 22358423. The reversal of 22358420 is 2485322.

22358420 is nontrivially palindromic in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 22358420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22358423) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1307 + ... + 6813.

It is an arithmetic number, because the mean of its divisors is an integer number (1156680).

Almost surely, 222358420 is an apocalyptic number.

22358420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22358420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27760320).

22358420 is an abundant number, since it is smaller than the sum of its proper divisors (33162220).

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

22358420 is a wasteful number, since it uses less digits than its factorization.

22358420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5552 (or 5550 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 22358420 is about 4728.4690968642. The cubic root of 22358420 is about 281.7174206048.

The spelling of 22358420 in words is "twenty-two million, three hundred fifty-eight thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 290 406 580 812 1015 2030 4060 5507 11014 22028 27535 38549 55070 77098 110140 154196 159703 192745 319406 385490 638812 770980 798515 1117921 1597030 2235842 3194060 4471684 5589605 11179210 22358420