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2100222 = 233192389
BaseRepresentation
bin1000000000101111111110
310221200222000
420000233332
51014201342
6113003130
723565045
oct10005776
93850860
102100222
111204a23
128534a6
13586c47
143c955c
152b744c
hex200bfe

2100222 has 64 divisors (see below), whose sum is σ = 5184000. Its totient is φ = 627264.

The previous prime is 2100221. The next prime is 2100227. The reversal of 2100222 is 2220012.

2100222 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100221) 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 31 ways as a sum of consecutive naturals, for example, 23554 + ... + 23642.

It is an arithmetic number, because the mean of its divisors is an integer number (81000).

22100222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2592000).

2100222 is an abundant number, since it is smaller than the sum of its proper divisors (3083778).

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

2100222 is a wasteful number, since it uses less digits than its factorization.

2100222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 136 counting only the distinct ones).

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

The square root of 2100222 is about 1449.2142698718. The cubic root of 2100222 is about 128.0624288568.

Adding to 2100222 its reverse (2220012), we get a palindrome (4320234).

The spelling of 2100222 in words is "two million, one hundred thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 23 27 38 46 54 57 69 89 114 138 171 178 207 267 342 414 437 513 534 621 801 874 1026 1242 1311 1602 1691 2047 2403 2622 3382 3933 4094 4806 5073 6141 7866 10146 11799 12282 15219 18423 23598 30438 36846 38893 45657 55269 77786 91314 110538 116679 233358 350037 700074 1050111 2100222