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2230433010 = 234513211817
BaseRepresentation
bin1000010011110001…
…1011010011110010
312202102221201220000
42010330123103302
514031442324020
61005153530430
7106162240101
oct20474332362
95672851800
102230433010
11a45026373
12522b73a16
13297128760
14172320038
15d0c2e090
hex84f1b4f2

2230433010 has 80 divisors (see below), whose sum is σ = 6458754456. Its totient is φ = 549027072.

The previous prime is 2230432969. The next prime is 2230433039. The reversal of 2230433010 is 103340322.

2230433010 is a `hidden beast` number, since 2 + 230 + 433 + 0 + 1 + 0 = 666.

2230433010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1379602449 + 850830561 = 37143^2 + 29169^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 95379 + ... + 116438.

Almost surely, 22230433010 is an apocalyptic number.

2230433010 is an abundant number, since it is smaller than the sum of its proper divisors (4228321446).

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

2230433010 is a wasteful number, since it uses less digits than its factorization.

2230433010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211849 (or 211840 counting only the distinct ones).

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

The square root of 2230433010 is about 47227.4603382397. The cubic root of 2230433010 is about 1306.5611123461.

Adding to 2230433010 its reverse (103340322), we get a palindrome (2333773332).

The spelling of 2230433010 in words is "two billion, two hundred thirty million, four hundred thirty-three thousand, ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 195 234 270 351 390 405 585 702 810 1053 1170 1755 2106 3510 5265 10530 211817 423634 635451 1059085 1270902 1906353 2118170 2753621 3177255 3812706 5507242 5719059 6354510 8260863 9531765 11438118 13768105 16521726 17157177 19063530 24782589 27536210 28595295 34314354 41304315 49565178 57190590 74347767 82608630 85785885 123912945 148695534 171571770 223043301 247825890 371738835 446086602 743477670 1115216505 2230433010