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2230011312 = 2431737233317
BaseRepresentation
bin1000010011101011…
…0100010110110000
312202102011022102120
42010322310112300
514031340330222
61005140514240
7106155532464
oct20472642660
95672138376
102230011312
11a44868561
125229ab980
1329700b829
141722504a4
15d0b9915c
hex84eb45b0

2230011312 has 160 divisors (see below), whose sum is σ = 6311328192. Its totient is φ = 675643392.

The previous prime is 2230011283. The next prime is 2230011341. The reversal of 2230011312 is 2131100322.

It is an interprime number because it is at equal distance from previous prime (2230011283) and next prime (2230011341).

It is a super-2 number, since 2×22300113122 = 9945900903295922688, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2230011291 and 2230011300.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7034578 + ... + 7034894.

Almost surely, 22230011312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2230011312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3155664096).

2230011312 is an abundant number, since it is smaller than the sum of its proper divisors (4081316880).

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

2230011312 is a wasteful number, since it uses less digits than its factorization.

2230011312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2230011312 is about 47222.9955847784. The cubic root of 2230011312 is about 1306.4787652663.

Adding to 2230011312 its reverse (2131100322), we get a palindrome (4361111634).

The spelling of 2230011312 in words is "two billion, two hundred thirty million, eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 37 48 51 68 74 102 111 136 148 204 222 233 272 296 317 408 444 466 592 629 634 699 816 888 932 951 1258 1268 1398 1776 1864 1887 1902 2516 2536 2796 3728 3774 3804 3961 5032 5072 5389 5592 7548 7608 7922 8621 10064 10778 11184 11729 11883 15096 15216 15844 16167 17242 21556 23458 23766 25863 30192 31688 32334 34484 35187 43112 46916 47532 51726 63376 64668 68968 70374 73861 86224 93832 95064 103452 129336 137936 140748 146557 147722 187664 190128 199393 206904 221583 258672 281496 293114 295444 398786 413808 439671 443166 562992 586228 590888 598179 797572 879342 886332 1172456 1181776 1196358 1255637 1595144 1758684 1772664 2344912 2392716 2511274 2732857 3190288 3517368 3545328 3766911 4785432 5022548 5465714 7034736 7533822 8198571 9570864 10045096 10931428 15067644 16397142 20090192 21862856 30135288 32794284 43725712 46458569 60270576 65588568 92917138 131177136 139375707 185834276 278751414 371668552 557502828 743337104 1115005656 2230011312