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228292002050 = 252761972
BaseRepresentation
bin1101010010011101000…
…0111000000100000010
3210211021001200022011012
43110213100320010002
512220020223031200
6252513105520522
722331201000000
oct3244720700402
9724231608135
10228292002050
11888aa97a082
12382b2643142
13186b28974a8
14b099761a70
155e12169a35
hex3527438102

228292002050 has 126 divisors (see below), whose sum is σ = 497920493307. Its totient is φ = 77874226080.

The previous prime is 228292002023. The next prime is 228292002079. The reversal of 228292002050 is 50200292822.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 210305705281 + 17986296769 = 458591^2 + 134113^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=337855.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 228292001998 and 228292002016.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1158842552 + ... + 1158842748.

Almost surely, 2228292002050 is an apocalyptic number.

228292002050 is an abundant number, since it is smaller than the sum of its proper divisors (269628491257).

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

228292002050 is an frugal number, since it uses more digits than its factorization.

228292002050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

Multiplying 228292002050 by its sum of digits (32), we get a square (7305344065600 = 27028402).

Adding to 228292002050 its reverse (50200292822), we get a palindrome (278492294872).

The spelling of 228292002050 in words is "two hundred twenty-eight billion, two hundred ninety-two million, two thousand, fifty".

Divisors: 1 2 5 7 10 14 25 35 49 50 70 98 175 197 245 343 350 394 490 686 985 1225 1379 1715 1970 2401 2450 2758 3430 4802 4925 6895 8575 9653 9850 12005 13790 16807 17150 19306 24010 33614 34475 38809 48265 60025 67571 68950 77618 84035 96530 117649 120050 135142 168070 194045 235298 241325 271663 337855 388090 420175 472997 482650 543326 588245 675710 840350 945994 970225 1176490 1358315 1689275 1901641 1940450 2364985 2716630 2941225 3310979 3378550 3803282 4729970 5882450 6621958 6791575 9508205 11824925 13311487 13583150 16554895 19016410 23176853 23649850 26622974 33109790 46353706 47541025 66557435 82774475 93180409 95082050 115884265 133114870 165548950 186360818 231768530 332787175 465902045 579421325 652262863 665574350 931804090 1158842650 1304525726 2329510225 3261314315 4565840041 4659020450 6522628630 9131680082 16306571575 22829200205 32613143150 45658400410 114146001025 228292002050