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2230311330 = 2325137326113
BaseRepresentation
bin1000010011101111…
…1101100110100010
312202102201112222100
42010323331212202
514031424430310
61005151151230
7106161222252
oct20473754642
95672645870
102230311330
11a44a52a05
12522b15516
132970b5260
141722cb962
15d0c07ec0
hex84efd9a2

2230311330 has 96 divisors (see below), whose sum is σ = 6330660336. Its totient is φ = 541458432.

The previous prime is 2230311319. The next prime is 2230311353. The reversal of 2230311330 is 331130322.

2230311330 is a `hidden beast` number, since 2 + 23 + 0 + 311 + 330 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 749062161 + 1481249169 = 27369^2 + 38487^2 .

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

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, 72354 + ... + 98466.

Almost surely, 22230311330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2230311330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3165330168).

2230311330 is an abundant number, since it is smaller than the sum of its proper divisors (4100349006).

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

2230311330 is a wasteful number, since it uses less digits than its factorization.

2230311330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26212 (or 26209 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 2230311330 is about 47226.1720870959. The cubic root of 2230311330 is about 1306.5373523487.

Adding to 2230311330 its reverse (331130322), we get a palindrome (2561441652).

It can be divided in two parts, 22303 and 11330, that added together give a palindrome (33633).

The spelling of 2230311330 in words is "two billion, two hundred thirty million, three hundred eleven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 73 78 90 117 130 146 195 219 234 365 390 438 585 657 730 949 1095 1170 1314 1898 2190 2847 3285 4745 5694 6570 8541 9490 14235 17082 26113 28470 42705 52226 78339 85410 130565 156678 235017 261130 339469 391695 470034 678938 783390 1018407 1175085 1697345 1906249 2036814 2350170 3055221 3394690 3812498 5092035 5718747 6110442 9531245 10184070 11437494 15276105 17156241 19062490 24781237 28593735 30552210 34312482 49562474 57187470 74343711 85781205 123906185 148687422 171562410 223031133 247812370 371718555 446062266 743437110 1115155665 2230311330