Search a number
-
+
22343220 = 223251011229
BaseRepresentation
bin101010100111…
…0111000110100
31120001011010200
41111032320310
521204440340
62114520500
7360625404
oct125167064
946034120
1022343220
1111680879
127596130
134823b53
142d78804
151e65330
hex154ee34

22343220 has 72 divisors (see below), whose sum is σ = 68501160. Its totient is φ = 5894400.

The previous prime is 22343213. The next prime is 22343231. The reversal of 22343220 is 2234322.

It can be written as a sum of positive squares in 4 ways, for example, as 14791716 + 7551504 = 3846^2 + 2748^2 .

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 = 22343193 and 22343202.

It is a congruent number.

It is an unprimeable number.

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, 17566 + ... + 18794.

It is an arithmetic number, because the mean of its divisors is an integer number (951405).

Almost surely, 222343220 is an apocalyptic number.

22343220 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 22343220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34250580).

22343220 is an abundant number, since it is smaller than the sum of its proper divisors (46157940).

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

22343220 is a wasteful number, since it uses less digits than its factorization.

22343220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 22343220 is about 4726.8615380610. The cubic root of 22343220 is about 281.6535658313.

Adding to 22343220 its reverse (2234322), we get a palindrome (24577542).

The spelling of 22343220 in words is "twenty-two million, three hundred forty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 303 404 505 606 909 1010 1212 1229 1515 1818 2020 2458 3030 3636 3687 4545 4916 6060 6145 7374 9090 11061 12290 14748 18180 18435 22122 24580 36870 44244 55305 73740 110610 124129 221220 248258 372387 496516 620645 744774 1117161 1241290 1489548 1861935 2234322 2482580 3723870 4468644 5585805 7447740 11171610 22343220