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2230100 = 225229769
BaseRepresentation
bin1000100000011101010100
311012022010022
420200131110
51032330400
6115444312
724645515
oct10403524
94168108
102230100
111293564
128b6698
136010b2
14420a0c
152e0b85
hex220754

2230100 has 36 divisors (see below), whose sum is σ = 5012700. Its totient is φ = 860160.

The previous prime is 2230097. The next prime is 2230117. The reversal of 2230100 is 10322.

It can be written as a sum of positive squares in 6 ways, for example, as 75076 + 2155024 = 274^2 + 1468^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2516 + ... + 3284.

22230100 is an apocalyptic number.

2230100 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 2230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2506350).

2230100 is an abundant number, since it is smaller than the sum of its proper divisors (2782600).

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

2230100 is a wasteful number, since it uses less digits than its factorization.

2230100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 2230100 is about 1493.3519344080. The cubic root of 2230100 is about 130.6496084678.

Adding to 2230100 its reverse (10322), we get a palindrome (2240422).

The spelling of 2230100 in words is "two million, two hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 769 1450 1538 2900 3076 3845 7690 15380 19225 22301 38450 44602 76900 89204 111505 223010 446020 557525 1115050 2230100