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968221512 = 233431157307
BaseRepresentation
bin111001101101011…
…110001101001000
32111110212202020000
4321231132031020
53440331042022
6240024203000
732664514146
oct7155361510
92443782200
10968221512
11457599175
12230309460
1312579184b
1492838596
155a0056ac
hex39b5e348

968221512 has 160 divisors (see below), whose sum is σ = 2826405120. Its totient is φ = 309329280.

The previous prime is 968221487. The next prime is 968221523. The reversal of 968221512 is 215122869.

It is a super-2 number, since 2×9682215122 = 1874905792599132288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 3153663 + ... + 3153969.

It is an arithmetic number, because the mean of its divisors is an integer number (17665032).

Almost surely, 2968221512 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 968221512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413202560).

968221512 is an abundant number, since it is smaller than the sum of its proper divisors (1858183608).

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

968221512 is a wasteful number, since it uses less digits than its factorization.

968221512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 500 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 968221512 is about 31116.2580012443. The cubic root of 968221512 is about 989.2929386608.

The spelling of 968221512 in words is "nine hundred sixty-eight million, two hundred twenty-one thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 81 93 108 124 157 162 186 216 248 279 307 314 324 372 471 558 614 628 648 744 837 921 942 1116 1228 1256 1413 1674 1842 1884 2232 2456 2511 2763 2826 3348 3684 3768 4239 4867 5022 5526 5652 6696 7368 8289 8478 9517 9734 10044 11052 11304 12717 14601 16578 16956 19034 19468 20088 22104 24867 25434 28551 29202 33156 33912 38068 38936 43803 48199 49734 50868 57102 58404 66312 76136 85653 87606 96398 99468 101736 114204 116808 131409 144597 171306 175212 192796 198936 228408 256959 262818 289194 342612 350424 385592 394227 433791 513918 525636 578388 685224 770877 788454 867582 1027836 1051272 1156776 1301373 1494169 1541754 1576908 1735164 2055672 2602746 2988338 3083508 3153816 3470328 3904119 4482507 5205492 5976676 6167016 7808238 8965014 10410984 11953352 13447521 15616476 17930028 26895042 31232952 35860056 40342563 53790084 80685126 107580168 121027689 161370252 242055378 322740504 484110756 968221512