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22103820 = 2233540933
BaseRepresentation
bin101010001010…
…0011100001100
31112120222202000
41110110130030
521124310240
62105432300
7355610424
oct124243414
945528660
1022103820
1111527a22
12749b690
13476bbab
142d15484
151e19430
hex151470c

22103820 has 48 divisors (see below), whose sum is σ = 68769120. Its totient is φ = 5894208.

The previous prime is 22103737. The next prime is 22103827. The reversal of 22103820 is 2830122.

It is a happy number.

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 = 22103793 and 22103802.

It is not an unprimeable number, because it can be changed into a prime (22103827) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19927 + ... + 21006.

It is an arithmetic number, because the mean of its divisors is an integer number (1432690).

Almost surely, 222103820 is an apocalyptic number.

22103820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22103820 is an abundant number, since it is smaller than the sum of its proper divisors (46665300).

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

22103820 is a wasteful number, since it uses less digits than its factorization.

22103820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40951 (or 40943 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 22103820 is about 4701.4699828883. The cubic root of 22103820 is about 280.6440108119.

Adding to 22103820 its reverse (2830122), we get a palindrome (24933942).

The spelling of 22103820 in words is "twenty-two million, one hundred three thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 40933 81866 122799 163732 204665 245598 368397 409330 491196 613995 736794 818660 1105191 1227990 1473588 1841985 2210382 2455980 3683970 4420764 5525955 7367940 11051910 22103820