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2205380268 = 2232713673193
BaseRepresentation
bin1000001101110011…
…0110111010101100
312200200210220222200
42003130312322230
514004034132033
61002500541500
7105436265040
oct20334667254
95620726880
102205380268
11a31974923
125166b1890
13291b96550
1416cc7c020
15cd931013
hex83736eac

2205380268 has 72 divisors (see below), whose sum is σ = 6861193248. Its totient is φ = 581637888.

The previous prime is 2205380257. The next prime is 2205380291. The reversal of 2205380268 is 8620835022.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 333321 + ... + 339872.

Almost surely, 22205380268 is an apocalyptic number.

2205380268 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2205380268 is an abundant number, since it is smaller than the sum of its proper divisors (4655812980).

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

2205380268 is a wasteful number, since it uses less digits than its factorization.

2205380268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673223 (or 673218 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2205380268 is about 46961.4764248314. The cubic root of 2205380268 is about 1301.6508156314.

The spelling of 2205380268 in words is "two billion, two hundred five million, three hundred eighty thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 1092 1638 3276 673193 1346386 2019579 2692772 4039158 4712351 6058737 8078316 8751509 9424702 12117474 14137053 17503018 18849404 24234948 26254527 28274106 35006036 42411159 52509054 56548212 61260563 78763581 84822318 105018108 122521126 157527162 169644636 183781689 245042252 315054324 367563378 551345067 735126756 1102690134 2205380268