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11220020 = 225721072
BaseRepresentation
bin101010110011…
…010000110100
3210010000222022
4222303100310
510333020040
61040252312
7164240300
oct52632064
923100868
1011220020
116373849
123911098
13242ac86
1416c0d00
15eb96b5
hexab3434

11220020 has 54 divisors (see below), whose sum is σ = 27667458. Its totient is φ = 3810912.

The previous prime is 11220007. The next prime is 11220029. The reversal of 11220020 is 2002211.

It can be written as a sum of positive squares in only one way, i.e., 8976016 + 2244004 = 2996^2 + 1498^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11220029) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 104807 + ... + 104913.

Almost surely, 211220020 is an apocalyptic number.

11220020 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 11220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13833729).

11220020 is an abundant number, since it is smaller than the sum of its proper divisors (16447438).

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

11220020 is a wasteful number, since it uses less digits than its factorization.

11220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 11220020 is about 3349.6298302947. The cubic root of 11220020 is about 223.8710194965.

Adding to 11220020 its reverse (2002211), we get a palindrome (13222231).

The spelling of 11220020 in words is "eleven million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 107 140 196 214 245 428 490 535 749 980 1070 1498 2140 2996 3745 5243 7490 10486 11449 14980 20972 22898 26215 45796 52430 57245 80143 104860 114490 160286 228980 320572 400715 561001 801430 1122002 1602860 2244004 2805005 5610010 11220020