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2230224200 = 235214897489
BaseRepresentation
bin1000010011101110…
…1000010101001000
312202102120010110022
42010323220111020
514031414133300
61005145240012
7106160410241
oct20473502510
95672503408
102230224200
11a449a34a6
12522a93008
132970846b9
141722a7cc8
15d0bdc285
hex84ee8548

2230224200 has 48 divisors (see below), whose sum is σ = 5189446500. Its totient is φ = 891371520.

The previous prime is 2230224181. The next prime is 2230224251. The reversal of 2230224200 is 24220322.

It can be written as a sum of positive squares in 6 ways, for example, as 499164964 + 1731059236 = 22342^2 + 41606^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 294056 + ... + 301544.

Almost surely, 22230224200 is an apocalyptic number.

2230224200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2230224200 is an abundant number, since it is smaller than the sum of its proper divisors (2959222300).

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

2230224200 is a wasteful number, since it uses less digits than its factorization.

2230224200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8994 (or 8985 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 2230224200 is about 47225.2496023049. The cubic root of 2230224200 is about 1306.5203382693.

Adding to 2230224200 its reverse (24220322), we get a palindrome (2254444522).

The spelling of 2230224200 in words is "two billion, two hundred thirty million, two hundred twenty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1489 2978 5956 7445 7489 11912 14890 14978 29780 29956 37225 37445 59560 59912 74450 74890 148900 149780 187225 297800 299560 374450 748900 1497800 11151121 22302242 44604484 55755605 89208968 111511210 223022420 278778025 446044840 557556050 1115112100 2230224200