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8214307530 = 23511132147289
BaseRepresentation
bin1111010011001110…
…00110001011001010
3210012110200001120020
413221213012023022
5113310330320110
63435033041310
7410362314312
oct75147061312
923173601506
108214307530
113535842910
121712b56236
13a0ba69800
1457cd32442
1533122dd70
hex1e99c62ca

8214307530 has 96 divisors (see below), whose sum is σ = 23288316480. Its totient is φ = 1838154240.

The previous prime is 8214307489. The next prime is 8214307567. The reversal of 8214307530 is 357034128.

It is a super-3 number, since 3×82143075303 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 8214307491 and 8214307500.

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, 17875 + ... + 129414.

It is an arithmetic number, because the mean of its divisors is an integer number (242586630).

Almost surely, 28214307530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8214307530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11644158240).

8214307530 is an abundant number, since it is smaller than the sum of its proper divisors (15074008950).

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

8214307530 is a wasteful number, since it uses less digits than its factorization.

8214307530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147336 (or 147323 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 8214307530 is about 90632.8170697568. The cubic root of 8214307530 is about 2017.7018213484.

The spelling of 8214307530 in words is "eight billion, two hundred fourteen million, three hundred seven thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 78 110 130 143 165 169 195 286 330 338 390 429 507 715 845 858 1014 1430 1690 1859 2145 2535 3718 4290 5070 5577 9295 11154 18590 27885 55770 147289 294578 441867 736445 883734 1472890 1620179 1914757 2209335 3240358 3829514 4418670 4860537 5744271 8100895 9573785 9721074 11488542 16201790 19147570 21062327 24302685 24891841 28721355 42124654 48605370 49783682 57442710 63186981 74675523 105311635 124459205 126373962 149351046 210623270 248918410 273810251 315934905 373377615 547620502 631869810 746755230 821430753 1369051255 1642861506 2738102510 4107153765 8214307530