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2296200 = 233524389
BaseRepresentation
bin1000110000100110001000
311022122210110
420300212020
51041434300
6121114320
725342314
oct10604610
94278713
102296200
111329195
129289a0
136251ca
1443ab44
15305550
hex230988

2296200 has 96 divisors (see below), whose sum is σ = 7365600. Its totient is φ = 591360.

The previous prime is 2296187. The next prime is 2296213. The reversal of 2296200 is 26922.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2296187) and next prime (2296213).

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 23 ways as a sum of consecutive naturals, for example, 25756 + ... + 25844.

It is an arithmetic number, because the mean of its divisors is an integer number (76725).

22296200 is an apocalyptic number.

2296200 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 2296200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3682800).

2296200 is an abundant number, since it is smaller than the sum of its proper divisors (5069400).

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

2296200 is a wasteful number, since it uses less digits than its factorization.

2296200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 2296200 is about 1515.3217480126. The cubic root of 2296200 is about 131.9278761180.

The spelling of 2296200 in words is "two million, two hundred ninety-six thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 43 50 60 75 86 89 100 120 129 150 172 178 200 215 258 267 300 344 356 430 445 516 534 600 645 712 860 890 1032 1068 1075 1290 1335 1720 1780 2136 2150 2225 2580 2670 3225 3560 3827 4300 4450 5160 5340 6450 6675 7654 8600 8900 10680 11481 12900 13350 15308 17800 19135 22962 25800 26700 30616 38270 45924 53400 57405 76540 91848 95675 114810 153080 191350 229620 287025 382700 459240 574050 765400 1148100 2296200