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2123300 = 2252171249
BaseRepresentation
bin1000000110011000100100
310222212121202
420012120210
51020421200
6113302032
724022244
oct10063044
93885552
102123300
1112202a3
12864918
135945ba
143d3b24
152be1d5
hex206624

2123300 has 36 divisors (see below), whose sum is σ = 4882500. Its totient is φ = 798720.

The previous prime is 2123281. The next prime is 2123309. The reversal of 2123300 is 33212.

It can be written as a sum of positive squares in 6 ways, for example, as 3364 + 2119936 = 58^2 + 1456^2 .

It is not an unprimeable number, because it can be changed into a prime (2123309) 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 11 ways as a sum of consecutive naturals, for example, 1076 + ... + 2324.

It is an arithmetic number, because the mean of its divisors is an integer number (135625).

22123300 is an apocalyptic number.

2123300 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 2123300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2441250).

2123300 is an abundant number, since it is smaller than the sum of its proper divisors (2759200).

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

2123300 is a wasteful number, since it uses less digits than its factorization.

2123300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 2123300 is about 1457.1547618561. The cubic root of 2123300 is about 128.5297866320.

Adding to 2123300 its reverse (33212), we get a palindrome (2156512).

The spelling of 2123300 in words is "two million, one hundred twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1249 1700 2498 4996 6245 12490 21233 24980 31225 42466 62450 84932 106165 124900 212330 424660 530825 1061650 2123300