Search a number
-
+
22405860 = 22325124477
BaseRepresentation
bin101010101111…
…0001011100100
31120011100001200
41111132023210
521213441420
62120122500
7361306131
oct125361344
946140050
1022405860
1111713944
127606430
134846509
142d93588
151e78b90
hex155e2e4

22405860 has 36 divisors (see below), whose sum is σ = 67964988. Its totient is φ = 5974848.

The previous prime is 22405837. The next prime is 22405861. The reversal of 22405860 is 6850422.

It can be written as a sum of positive squares in 2 ways, for example, as 13972644 + 8433216 = 3738^2 + 2904^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (22405861) 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 11 ways as a sum of consecutive naturals, for example, 62059 + ... + 62418.

Almost surely, 222405860 is an apocalyptic number.

22405860 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22405860 is an abundant number, since it is smaller than the sum of its proper divisors (45559128).

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

22405860 is a wasteful number, since it uses less digits than its factorization.

22405860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124492 (or 124487 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 22405860 is about 4733.4828614879. The cubic root of 22405860 is about 281.9165287885.

It can be divided in two parts, 2240 and 5860, that added together give a square (8100 = 902).

The spelling of 22405860 in words is "twenty-two million, four hundred five thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 124477 248954 373431 497908 622385 746862 1120293 1244770 1493724 1867155 2240586 2489540 3734310 4481172 5601465 7468620 11202930 22405860