Search a number
-
+
22024420 = 22511219479
BaseRepresentation
bin101010000000…
…1000011100100
31112102221211021
41110001003210
521114240140
62104020524
7355130065
oct124010344
945387737
1022024420
1111483300
127461744
134741a02
142cd456c
151e00b4a
hex15010e4

22024420 has 72 divisors (see below), whose sum is σ = 53625600. Its totient is φ = 7571520.

The previous prime is 22024399. The next prime is 22024423. The reversal of 22024420 is 2442022.

It is a junction number, because it is equal to n+sod(n) for n = 22024394 and 22024403.

It is not an unprimeable number, because it can be changed into a prime (22024423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45741 + ... + 46219.

It is an arithmetic number, because the mean of its divisors is an integer number (744800).

Almost surely, 222024420 is an apocalyptic number.

22024420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22024420 is the 3832-nd pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22024420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26812800).

22024420 is an abundant number, since it is smaller than the sum of its proper divisors (31601180).

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

22024420 is a wasteful number, since it uses less digits than its factorization.

22024420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 22024420 is about 4693.0182185881. The cubic root of 22024420 is about 280.3075701845.

Adding to 22024420 its reverse (2442022), we get a palindrome (24466442).

The spelling of 22024420 in words is "twenty-two million, twenty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 121 190 209 220 242 380 418 479 484 605 836 958 1045 1210 1916 2090 2299 2395 2420 4180 4598 4790 5269 9101 9196 9580 10538 11495 18202 21076 22990 26345 36404 45505 45980 52690 57959 91010 100111 105380 115918 182020 200222 231836 289795 400444 500555 579590 1001110 1101221 1159180 2002220 2202442 4404884 5506105 11012210 22024420