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2230331220 = 2233513317711
BaseRepresentation
bin1000010011110000…
…0010011101010100
312202102202120021000
42010330002131110
514031431044340
61005151423300
7106161334245
oct20474023524
95672676230
102230331220
11a44a66947
12522b24b30
132970c1320
141722d4ccc
15d0c0dd30
hex84f02754

2230331220 has 96 divisors (see below), whose sum is σ = 7472586240. Its totient is φ = 549002880.

The previous prime is 2230331179. The next prime is 2230331237. The reversal of 2230331220 is 221330322.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2230331193 and 2230331202.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 151836 + ... + 165875.

It is an arithmetic number, because the mean of its divisors is an integer number (77839440).

Almost surely, 22230331220 is an apocalyptic number.

2230331220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2230331220 is an abundant number, since it is smaller than the sum of its proper divisors (5242255020).

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

2230331220 is a wasteful number, since it uses less digits than its factorization.

2230331220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317742 (or 317734 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2230331220 is about 47226.3826690125. The cubic root of 2230331220 is about 1306.5412362535.

Adding to 2230331220 its reverse (221330322), we get a palindrome (2451661542).

The spelling of 2230331220 in words is "two billion, two hundred thirty million, three hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 2340 3510 7020 317711 635422 953133 1270844 1588555 1906266 2859399 3177110 3812532 4130243 4765665 5718798 6354220 8260486 8578197 9531330 11437596 12390729 14296995 16520972 17156394 19062660 20651215 24781458 28593990 34312788 37172187 41302430 42890985 49562916 57187980 61953645 74344374 82604860 85781970 111516561 123907290 148688748 171563940 185860935 223033122 247814580 371721870 446066244 557582805 743443740 1115165610 2230331220