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2202136328 = 2371910491973
BaseRepresentation
bin1000001101000001…
…1110111100001000
312200110201010010202
42003100132330020
514002221330303
61002303231332
7105366564350
oct20320367410
95613633122
102202136328
11a30059687
125155a8548
132912cbb62
1416c675b60
15cd4dec88
hex8341ef08

2202136328 has 64 divisors (see below), whose sum is σ = 4974480000. Its totient is φ = 892795392.

The previous prime is 2202136283. The next prime is 2202136333. The reversal of 2202136328 is 8236312022.

It is a self number, because there is not a number n which added to its sum of digits gives 2202136328.

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 15 ways as a sum of consecutive naturals, for example, 1115150 + ... + 1117122.

It is an arithmetic number, because the mean of its divisors is an integer number (77726250).

Almost surely, 22202136328 is an apocalyptic number.

2202136328 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 2202136328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2487240000).

2202136328 is an abundant number, since it is smaller than the sum of its proper divisors (2772343672).

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

2202136328 is a wasteful number, since it uses less digits than its factorization.

2202136328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3054 (or 3050 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 2202136328 is about 46926.9254053576. The cubic root of 2202136328 is about 1301.0122939803.

The spelling of 2202136328 in words is "two billion, two hundred two million, one hundred thirty-six thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 532 1049 1064 1973 2098 3946 4196 7343 7892 8392 13811 14686 15784 19931 27622 29372 37487 39862 55244 58744 74974 79724 110488 139517 149948 159448 262409 279034 299896 524818 558068 1049636 1116136 2069677 2099272 4139354 8278708 14487739 16557416 28975478 39323863 57950956 78647726 115901912 157295452 275267041 314590904 550534082 1101068164 2202136328