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11222420 = 22511291759
BaseRepresentation
bin101010110011…
…110110010100
3210010011021012
4222303312110
510333104140
61040311352
7164250266
oct52636624
923104235
1011222420
116375630
123912558
13242c0b1
1416c1b36
15eba265
hexab3d94

11222420 has 48 divisors (see below), whose sum is σ = 26611200. Its totient is φ = 3937920.

The previous prime is 11222417. The next prime is 11222423. The reversal of 11222420 is 2422211.

It is an interprime number because it is at equal distance from previous prime (11222417) and next prime (11222423).

It is a junction number, because it is equal to n+sod(n) for n = 11222395 and 11222404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11222423) 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 15 ways as a sum of consecutive naturals, for example, 5501 + ... + 7259.

It is an arithmetic number, because the mean of its divisors is an integer number (554400).

Almost surely, 211222420 is an apocalyptic number.

11222420 is a gapful number since it is divisible by the number (10) 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 11222420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13305600).

11222420 is an abundant number, since it is smaller than the sum of its proper divisors (15388780).

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

11222420 is a wasteful number, since it uses less digits than its factorization.

11222420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1808 (or 1806 counting only the distinct ones).

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

The square root of 11222420 is about 3349.9880596802. The cubic root of 11222420 is about 223.8869806131.

Adding to 11222420 its reverse (2422211), we get a palindrome (13644631).

The spelling of 11222420 in words is "eleven million, two hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 580 638 1276 1595 1759 3190 3518 6380 7036 8795 17590 19349 35180 38698 51011 77396 96745 102022 193490 204044 255055 386980 510110 561121 1020220 1122242 2244484 2805605 5611210 11222420