Search a number
-
+
2205205220 = 225472345963
BaseRepresentation
bin1000001101110000…
…1100001011100100
312200200111000212102
42003130030023210
514004013031340
61002453111232
7105434635511
oct20334141344
95620430772
102205205220
11a31865359
12516628518
13291b3497a
1416cc34308
15cd8e9215
hex8370c2e4

2205205220 has 24 divisors (see below), whose sum is σ = 4729463424. Its totient is φ = 863314016.

The previous prime is 2205205187. The next prime is 2205205279. The reversal of 2205205220 is 225025022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2205205192 and 2205205201.

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 7 ways as a sum of consecutive naturals, for example, 1172042 + ... + 1173921.

It is an arithmetic number, because the mean of its divisors is an integer number (197060976).

Almost surely, 22205205220 is an apocalyptic number.

2205205220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2205205220 is an abundant number, since it is smaller than the sum of its proper divisors (2524258204).

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

2205205220 is a wasteful number, since it uses less digits than its factorization.

2205205220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2346019 (or 2346017 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 2205205220 is about 46959.6126474655. The cubic root of 2205205220 is about 1301.6163760076.

The spelling of 2205205220 in words is "two billion, two hundred five million, two hundred five thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 47 94 188 235 470 940 2345963 4691926 9383852 11729815 23459630 46919260 110260261 220520522 441041044 551301305 1102602610 2205205220