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2214381800 = 2352103110739
BaseRepresentation
bin1000001111111100…
…1100100011101000
312201022202020202202
42003333030203220
514013340204200
61003421515332
7105605635421
oct20377144350
95638666682
102214381800
11a36a62904
12519712b48
132939c87b7
14170142648
15ce60d1d5
hex83fcc8e8

2214381800 has 48 divisors (see below), whose sum is σ = 5153911200. Its totient is φ = 884811200.

The previous prime is 2214381791. The next prime is 2214381811. The reversal of 2214381800 is 81834122.

2214381800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 200831 + ... + 211569.

It is an arithmetic number, because the mean of its divisors is an integer number (107373150).

Almost surely, 22214381800 is an apocalyptic number.

2214381800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2214381800 is an abundant number, since it is smaller than the sum of its proper divisors (2939529400).

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

2214381800 is a wasteful number, since it uses less digits than its factorization.

2214381800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11786 (or 11777 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 2214381800 is about 47057.2183623299. The cubic root of 2214381800 is about 1303.4193611639.

The spelling of 2214381800 in words is "two billion, two hundred fourteen million, three hundred eighty-one thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1031 2062 4124 5155 8248 10310 10739 20620 21478 25775 41240 42956 51550 53695 85912 103100 107390 206200 214780 268475 429560 536950 1073900 2147800 11071909 22143818 44287636 55359545 88575272 110719090 221438180 276797725 442876360 553595450 1107190900 2214381800