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2030013216 = 253271191541
BaseRepresentation
bin111100011111111…
…1000101100100000
312020110211100121200
41320333320230200
513124140410331
6533234121200
7101206553610
oct17077705440
95213740550
102030013216
11951986a80
12487a20200
1326475536a
1415386ca40
15bd3405e6
hex78ff8b20

2030013216 has 144 divisors (see below), whose sum is σ = 7197398208. Its totient is φ = 527270400.

The previous prime is 2030013211. The next prime is 2030013217. The reversal of 2030013216 is 6123100302.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (2030013211) 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, 23595 + ... + 67946.

It is an arithmetic number, because the mean of its divisors is an integer number (49981932).

Almost surely, 22030013216 is an apocalyptic number.

It is an amenable number.

2030013216 is an abundant number, since it is smaller than the sum of its proper divisors (5167384992).

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

2030013216 is a wasteful number, since it uses less digits than its factorization.

2030013216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91575 (or 91564 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2030013216 is about 45055.6679675266. The cubic root of 2030013216 is about 1266.1921647760.

Adding to 2030013216 its reverse (6123100302), we get a palindrome (8153113518).

The spelling of 2030013216 in words is "two billion, thirty million, thirteen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 32 33 36 42 44 48 56 63 66 72 77 84 88 96 99 112 126 132 144 154 168 176 198 224 231 252 264 288 308 336 352 396 462 504 528 616 672 693 792 924 1008 1056 1232 1386 1584 1848 2016 2464 2772 3168 3696 5544 7392 11088 22176 91541 183082 274623 366164 549246 640787 732328 823869 1006951 1098492 1281574 1464656 1647738 1922361 2013902 2196984 2563148 2929312 3020853 3295476 3844722 4027804 4393968 5126296 5767083 6041706 6590952 7048657 7689444 8055608 8787936 9062559 10252592 11534166 12083412 13181904 14097314 15378888 16111216 18125118 20505184 21145971 23068332 24166824 26363808 28194628 30757776 32222432 36250236 42291942 46136664 48333648 56389256 61515552 63437913 72500472 84583884 92273328 96667296 112778512 126875826 145000944 169167768 184546656 225557024 253751652 290001888 338335536 507503304 676671072 1015006608 2030013216