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6612220530 = 23251011933769
BaseRepresentation
bin1100010100001111…
…00111101001110010
3122001211001121100200
412022013213221302
5102020212024110
63012042500030
7322566642606
oct61207475162
918054047320
106612220530
112893476173
121346504616
13814b82b36
1446a257506
1528a76b6c0
hex18a1e7a72

6612220530 has 96 divisors (see below), whose sum is σ = 17456577840. Its totient is φ = 1736294400.

The previous prime is 6612220529. The next prime is 6612220577. The reversal of 6612220530 is 350222166.

6612220530 is a `hidden beast` number, since 6 + 6 + 122 + 2 + 0 + 530 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4983371649 + 1628848881 = 70593^2 + 40359^2 .

It is a junction number, because it is equal to n+sod(n) for n = 6612220494 and 6612220503.

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, 1752486 + ... + 1756254.

Almost surely, 26612220530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6612220530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8728288920).

6612220530 is an abundant number, since it is smaller than the sum of its proper divisors (10844357310).

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

6612220530 is a wasteful number, since it uses less digits than its factorization.

6612220530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4076 (or 4073 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 6612220530 is about 81315.5614258427. The cubic root of 6612220530 is about 1876.9344685570.

Adding to 6612220530 its reverse (350222166), we get a palindrome (6962442696).

The spelling of 6612220530 in words is "six billion, six hundred twelve million, two hundred twenty thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 193 202 303 386 505 579 606 909 965 1010 1158 1515 1737 1818 1930 2895 3030 3474 3769 4545 5790 7538 8685 9090 11307 17370 18845 19493 22614 33921 37690 38986 56535 58479 67842 97465 113070 116958 169605 175437 194930 292395 339210 350874 380669 584790 727417 761338 877185 1142007 1454834 1754370 1903345 2182251 2284014 3426021 3637085 3806690 4364502 5710035 6546753 6852042 7274170 10911255 11420070 13093506 17130105 21822510 32733765 34260210 65467530 73469117 146938234 220407351 367345585 440814702 661222053 734691170 1102036755 1322444106 2204073510 3306110265 6612220530