Search a number
-
+
22223120 = 245277789
BaseRepresentation
bin101010011000…
…1100100010000
31112211001101112
41110301210100
521142114440
62112152452
7356615303
oct124614420
945731345
1022223120
11115a9617
127538728
1347b129a
142d46b3a
151e3e965
hex1531910

22223120 has 20 divisors (see below), whose sum is σ = 51668940. Its totient is φ = 8889216.

The previous prime is 22223119. The next prime is 22223137. The reversal of 22223120 is 2132222.

It can be written as a sum of positive squares in 2 ways, for example, as 12588304 + 9634816 = 3548^2 + 3104^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 22223095 and 22223104.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 138815 + ... + 138974.

It is an arithmetic number, because the mean of its divisors is an integer number (2583447).

Almost surely, 222223120 is an apocalyptic number.

22223120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22223120 is an abundant number, since it is smaller than the sum of its proper divisors (29445820).

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

22223120 is a wasteful number, since it uses less digits than its factorization.

22223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277802 (or 277796 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 22223120 is about 4714.1404306618. The cubic root of 22223120 is about 281.1480077918.

Adding to 22223120 its reverse (2132222), we get a palindrome (24355342).

The spelling of 22223120 in words is "twenty-two million, two hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 277789 555578 1111156 1388945 2222312 2777890 4444624 5555780 11111560 22223120