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22111104 = 27371811
BaseRepresentation
bin101010001011…
…0001110000000
31112121100201210
41110112032000
521130023404
62105530120
7355640601
oct124261600
945540653
1022111104
1111532444
1274a3940
1347722c2
142d17da8
151e1b689
hex1516380

22111104 has 64 divisors (see below), whose sum is σ = 59633280. Its totient is φ = 7257600.

The previous prime is 22111099. The next prime is 22111109. The reversal of 22111104 is 40111122.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22111099) and next prime (22111109).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 22111104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22111109) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26859 + ... + 27669.

It is an arithmetic number, because the mean of its divisors is an integer number (931770).

Almost surely, 222111104 is an apocalyptic number.

22111104 is a gapful number since it is divisible by the number (24) 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 22111104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29816640).

22111104 is an abundant number, since it is smaller than the sum of its proper divisors (37522176).

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

22111104 is an equidigital number, since it uses as much as digits as its factorization.

22111104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 22111104 is about 4702.2445704153. The cubic root of 22111104 is about 280.6748348425.

Adding to 22111104 its reverse (40111122), we get a palindrome (62222226).

It can be divided in two parts, 221 and 11104, that added together give a triangular number (11325 = T150).

The spelling of 22111104 in words is "twenty-two million, one hundred eleven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 128 142 192 213 284 384 426 568 811 852 1136 1622 1704 2272 2433 3244 3408 4544 4866 6488 6816 9088 9732 12976 13632 19464 25952 27264 38928 51904 57581 77856 103808 115162 155712 172743 230324 311424 345486 460648 690972 921296 1381944 1842592 2763888 3685184 5527776 7370368 11055552 22111104