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2200100 = 225272449
BaseRepresentation
bin1000011001001000100100
311010202222012
420121020210
51030400400
6115053352
724462200
oct10311044
94122865
102200100
111272a71
128a1258
135c0546
14413b00
152d6d35
hex219224

2200100 has 54 divisors (see below), whose sum is σ = 5566050. Its totient is φ = 752640.

The previous prime is 2200069. The next prime is 2200103. The reversal of 2200100 is 10022.

2200100 = T161 + T162 + ... + T258.

It can be written as a sum of positive squares in 3 ways, for example, as 200704 + 1999396 = 448^2 + 1414^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is not an unprimeable number, because it can be changed into a prime (2200103) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 4676 + ... + 5124.

It is an arithmetic number, because the mean of its divisors is an integer number (103075).

22200100 is an apocalyptic number.

2200100 is a gapful number since it is divisible by the number (20) 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 2200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2783025).

2200100 is an abundant number, since it is smaller than the sum of its proper divisors (3365950).

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

2200100 is a wasteful number, since it uses less digits than its factorization.

2200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

The square root of 2200100 is about 1483.2734070292. The cubic root of 2200100 is about 130.0611152484.

Adding to 2200100 its reverse (10022), we get a palindrome (2210122).

The spelling of 2200100 in words is "two million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 449 490 700 898 980 1225 1796 2245 2450 3143 4490 4900 6286 8980 11225 12572 15715 22001 22450 31430 44002 44900 62860 78575 88004 110005 157150 220010 314300 440020 550025 1100050 2200100