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2205228788 = 227294166239
BaseRepresentation
bin1000001101110001…
…0001111011110100
312200200112020012022
42003130101323310
514004014310123
61002453412312
7105435064310
oct20334217364
95620466168
102205228788
11a31881034
1251663a098
13291b42609
1416cc3cb40
15cd9011c8
hex83711ef4

2205228788 has 48 divisors (see below), whose sum is σ = 4673894400. Its totient is φ = 890238720.

The previous prime is 2205228769. The next prime is 2205228827. The reversal of 2205228788 is 8878225022.

2205228788 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173 + ... + 66411.

It is an arithmetic number, because the mean of its divisors is an integer number (97372800).

Almost surely, 22205228788 is an apocalyptic number.

2205228788 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2205228788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2336947200).

2205228788 is an abundant number, since it is smaller than the sum of its proper divisors (2468665612).

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

2205228788 is a wasteful number, since it uses less digits than its factorization.

2205228788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66320 (or 66318 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 44.

The square root of 2205228788 is about 46959.8635858325. The cubic root of 2205228788 is about 1301.6210129737.

The spelling of 2205228788 in words is "two billion, two hundred five million, two hundred twenty-eight thousand, seven hundred eighty-eight".

Divisors: 1 2 4 7 14 28 29 41 58 82 116 164 203 287 406 574 812 1148 1189 2378 4756 8323 16646 33292 66239 132478 264956 463673 927346 1854692 1920931 2715799 3841862 5431598 7683724 10863196 13446517 19010593 26893034 38021186 53786068 76042372 78758171 157516342 315032684 551307197 1102614394 2205228788