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2264132200 = 2352111029151
BaseRepresentation
bin1000011011110011…
…1110101001101000
312211210100211111011
42012330332221220
514114104212300
61012400113304
7110051543341
oct20674765150
95753324434
102264132200
11a62053040
12532305834
132a10c73c5
141769b30c8
15d3b88eba
hex86f3ea68

2264132200 has 48 divisors (see below), whose sum is σ = 5742668160. Its totient is φ = 823320000.

The previous prime is 2264132177. The next prime is 2264132209. The reversal of 2264132200 is 22314622.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (2264132209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 512376 + ... + 516775.

It is an arithmetic number, because the mean of its divisors is an integer number (119638920).

Almost surely, 22264132200 is an apocalyptic number.

2264132200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2264132200 is an abundant number, since it is smaller than the sum of its proper divisors (3478535960).

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

2264132200 is a wasteful number, since it uses less digits than its factorization.

2264132200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029178 (or 1029169 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 2264132200 is about 47582.8981883197. The cubic root of 2264132200 is about 1313.1084429160.

Adding to 2264132200 its reverse (22314622), we get a palindrome (2286446822).

The spelling of 2264132200 in words is "two billion, two hundred sixty-four million, one hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 1029151 2058302 4116604 5145755 8233208 10291510 11320661 20583020 22641322 25728775 41166040 45282644 51457550 56603305 90565288 102915100 113206610 205830200 226413220 283016525 452826440 566033050 1132066100 2264132200