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22441980 = 22351137919
BaseRepresentation
bin101010110011…
…0111111111100
31120020011121110
41111212333330
521221120410
62121002020
7361516341
oct125467774
946204543
1022441980
1111738aa0
127623310
134859aa2
142da27c8
151e84720
hex1566ffc

22441980 has 96 divisors (see below), whose sum is σ = 70479360. Its totient is φ = 5287680.

The previous prime is 22441963. The next prime is 22441981. The reversal of 22441980 is 8914422.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22441981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23961 + ... + 24879.

It is an arithmetic number, because the mean of its divisors is an integer number (734160).

Almost surely, 222441980 is an apocalyptic number.

22441980 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 22441980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35239680).

22441980 is an abundant number, since it is smaller than the sum of its proper divisors (48037380).

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

22441980 is a wasteful number, since it uses less digits than its factorization.

22441980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 22441980 is about 4737.2966974848. The cubic root of 22441980 is about 282.0679379597.

It can be divided in two parts, 2244 and 1980, that added together give a palindrome (4224).

The spelling of 22441980 in words is "twenty-two million, four hundred forty-one thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 37 44 55 60 66 74 110 111 132 148 165 185 220 222 330 370 407 444 555 660 740 814 919 1110 1221 1628 1838 2035 2220 2442 2757 3676 4070 4595 4884 5514 6105 8140 9190 10109 11028 12210 13785 18380 20218 24420 27570 30327 34003 40436 50545 55140 60654 68006 101090 102009 121308 136012 151635 170015 202180 204018 303270 340030 374033 408036 510045 606540 680060 748066 1020090 1122099 1496132 1870165 2040180 2244198 3740330 4488396 5610495 7480660 11220990 22441980