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22141220 = 22597101113
BaseRepresentation
bin101010001110…
…1100100100100
31112122220001012
41110131210210
521132004340
62110321352
7356124443
oct124354444
945586035
1022141220
1111553032
1274b9258
134782c1a
142d24d5a
151e25565
hex151d924

22141220 has 48 divisors (see below), whose sum is σ = 47860848. Its totient is φ = 8601600.

The previous prime is 22141211. The next prime is 22141241. The reversal of 22141220 is 2214122.

It can be written as a sum of positive squares in 8 ways, for example, as 369664 + 21771556 = 608^2 + 4666^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22141195 and 22141204.

It is an unprimeable number.

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, 195884 + ... + 195996.

It is an arithmetic number, because the mean of its divisors is an integer number (997101).

Almost surely, 222141220 is an apocalyptic number.

22141220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22141220 is an abundant number, since it is smaller than the sum of its proper divisors (25719628).

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

22141220 is a wasteful number, since it uses less digits than its factorization.

22141220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 22141220 is about 4705.4457812199. The cubic root of 22141220 is about 280.8022062689.

Adding to 22141220 its reverse (2214122), we get a palindrome (24355342).

The spelling of 22141220 in words is "twenty-two million, one hundred forty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 97 101 113 194 202 226 388 404 452 485 505 565 970 1010 1130 1940 2020 2260 9797 10961 11413 19594 21922 22826 39188 43844 45652 48985 54805 57065 97970 109610 114130 195940 219220 228260 1107061 2214122 4428244 5535305 11070610 22141220