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2230971960 = 233572379417
BaseRepresentation
bin1000010011111001…
…1110111000111000
312202110222010012010
42010332132320320
514032112100320
61005213245520
7106166643300
oct20476367070
95673863163
102230971960
11a45364288
125231938a0
13297286b69
14172420600
15d0cd8ae0
hex84f9ee38

2230971960 has 96 divisors (see below), whose sum is σ = 7785657360. Its totient is φ = 509935104.

The previous prime is 2230971923. The next prime is 2230971961. The reversal of 2230971960 is 691790322.

It is a super-3 number, since 3×22309719603 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2230971961) by changing a digit.

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, 183829 + ... + 195588.

Almost surely, 22230971960 is an apocalyptic number.

2230971960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2230971960 is an abundant number, since it is smaller than the sum of its proper divisors (5554685400).

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

2230971960 is a wasteful number, since it uses less digits than its factorization.

2230971960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379445 (or 379434 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 2230971960 is about 47233.1658900819. The cubic root of 2230971960 is about 1306.6663407029. Note that the first 3 decimals are identical.

The spelling of 2230971960 in words is "two billion, two hundred thirty million, nine hundred seventy-one thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 392 420 490 588 735 840 980 1176 1470 1960 2940 5880 379417 758834 1138251 1517668 1897085 2276502 2655919 3035336 3794170 4553004 5311838 5691255 7588340 7967757 9106008 10623676 11382510 13279595 15176680 15935514 18591433 21247352 22765020 26559190 31871028 37182866 39838785 45530040 53118380 55774299 63742056 74365732 79677570 92957165 106236760 111548598 148731464 159355140 185914330 223097196 278871495 318710280 371828660 446194392 557742990 743657320 1115485980 2230971960