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2230032200 = 2352114392309
BaseRepresentation
bin1000010011101011…
…1001011101001000
312202102012101002012
42010322321131020
514031342012300
61005141155052
7106155650414
oct20472713510
95672171065
102230032200
11a44882220
125229bba88
132970181a6
14172257d44
15d0ba0435
hex84eb9748

2230032200 has 96 divisors (see below), whose sum is σ = 5671512000. Its totient is φ = 808723200.

The previous prime is 2230032193. The next prime is 2230032209. The reversal of 2230032200 is 22300322.

It is a super-2 number, since 2×22300322002 = 9946087226073680000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2230032209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 964646 + ... + 966954.

It is an arithmetic number, because the mean of its divisors is an integer number (59078250).

Almost surely, 22230032200 is an apocalyptic number.

2230032200 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 2230032200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2835756000).

2230032200 is an abundant number, since it is smaller than the sum of its proper divisors (3441479800).

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

2230032200 is a wasteful number, since it uses less digits than its factorization.

2230032200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2775 (or 2766 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 2230032200 is about 47223.2167476973. The cubic root of 2230032200 is about 1306.4828444150.

Adding to 2230032200 its reverse (22300322), we get a palindrome (2252332522).

2230032200 divided by its reverse (22300322) gives a square (100 = 102).

The spelling of 2230032200 in words is "two billion, two hundred thirty million, thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 439 440 550 878 1100 1756 2195 2200 2309 3512 4390 4618 4829 8780 9236 9658 10975 11545 17560 18472 19316 21950 23090 24145 25399 38632 43900 46180 48290 50798 57725 87800 92360 96580 101596 115450 120725 126995 193160 203192 230900 241450 253990 461800 482900 507980 634975 965800 1013651 1015960 1269950 2027302 2539900 4054604 5068255 5079800 8109208 10136510 11150161 20273020 22300322 25341275 40546040 44600644 50682550 55750805 89201288 101365100 111501610 202730200 223003220 278754025 446006440 557508050 1115016100 2230032200