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4220100 = 223452521
BaseRepresentation
bin10000000110010011000100
321221101220000
4100012103010
52040020400
6230241300
750604333
oct20062304
97841800
104220100
112422695
1214b6230
13b49b01
147bbd1a
15585600
hex4064c4

4220100 has 90 divisors (see below), whose sum is σ = 13706154. Its totient is φ = 1123200.

The previous prime is 4220081. The next prime is 4220137. The reversal of 4220100 is 10224.

It can be written as a sum of positive squares in 3 ways, for example, as 82944 + 4137156 = 288^2 + 2034^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 7840 + ... + 8360.

Almost surely, 24220100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6853077).

4220100 is an abundant number, since it is smaller than the sum of its proper divisors (9486054).

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

4220100 is a wasteful number, since it uses less digits than its factorization.

4220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 4220100 is about 2054.2881978924. The cubic root of 4220100 is about 161.5998353918.

Adding to 4220100 its reverse (10224), we get a palindrome (4230324).

The spelling of 4220100 in words is "four million, two hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 270 300 324 405 450 521 540 675 810 900 1042 1350 1563 1620 2025 2084 2605 2700 3126 4050 4689 5210 6252 7815 8100 9378 10420 13025 14067 15630 18756 23445 26050 28134 31260 39075 42201 46890 52100 56268 70335 78150 84402 93780 117225 140670 156300 168804 211005 234450 281340 351675 422010 468900 703350 844020 1055025 1406700 2110050 4220100