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1020225690 = 2325118911579
BaseRepresentation
bin111100110011110…
…110100010011010
32122002201211112200
4330303312202122
54042134210230
6245122551030
734165526631
oct7463664232
92562654480
101020225690
11483988730
12245808476
1313349c253
14996d4518
155e879160
hex3ccf689a

1020225690 has 96 divisors (see below), whose sum is σ = 2926497600. Its totient is φ = 244527360.

The previous prime is 1020225677. The next prime is 1020225749. The reversal of 1020225690 is 965220201.

It is a super-2 number, since 2×10202256902 = 2081720917071952200, which contains 22 as substring.

It is a Curzon number.

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 47 ways as a sum of consecutive naturals, for example, 82321 + ... + 93899.

It is an arithmetic number, because the mean of its divisors is an integer number (30484350).

Almost surely, 21020225690 is an apocalyptic number.

1020225690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020225690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463248800).

1020225690 is an abundant number, since it is smaller than the sum of its proper divisors (1906271910).

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

1020225690 is a wasteful number, since it uses less digits than its factorization.

1020225690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11692 (or 11689 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1020225690 is about 31940.9719639212. The cubic root of 1020225690 is about 1006.6969474442.

Adding to 1020225690 its reverse (965220201), we get a palindrome (1985445891).

The spelling of 1020225690 in words is "one billion, twenty million, two hundred twenty-five thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 89 90 99 110 165 178 198 267 330 445 495 534 801 890 979 990 1335 1602 1958 2670 2937 4005 4895 5874 8010 8811 9790 11579 14685 17622 23158 29370 34737 44055 57895 69474 88110 104211 115790 127369 173685 208422 254738 347370 382107 521055 636845 764214 1030531 1042110 1146321 1273690 1910535 2061062 2292642 3091593 3821070 5152655 5731605 6183186 9274779 10305310 11335841 11463210 15457965 18549558 22671682 30915930 34007523 46373895 56679205 68015046 92747790 102022569 113358410 170037615 204045138 340075230 510112845 1020225690