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6220116432 = 2432157275129
BaseRepresentation
bin1011100101011111…
…10111000111010000
3121001111020122122200
411302233313013100
5100214322211212
62505114403200
7310066055145
oct56257670720
917044218580
106220116432
1127021035a2
121257130500
1378187748a
1443014a3cc
152661176dc
hex172bf71d0

6220116432 has 60 divisors (see below), whose sum is σ = 17518627620. Its totient is φ = 2060158464.

The previous prime is 6220116401. The next prime is 6220116433. The reversal of 6220116432 is 2346110226.

6220116432 is a `hidden beast` number, since 6 + 2 + 2 + 0 + 11 + 643 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4376616336 + 1843500096 = 66156^2 + 42936^2 .

It is a junction number, because it is equal to n+sod(n) for n = 6220116396 and 6220116405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6220116433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114957 + ... + 160172.

It is an arithmetic number, because the mean of its divisors is an integer number (291977127).

Almost surely, 26220116432 is an apocalyptic number.

It is an amenable number.

6220116432 is an abundant number, since it is smaller than the sum of its proper divisors (11298511188).

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

6220116432 is a wasteful number, since it uses less digits than its factorization.

6220116432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275300 (or 275291 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 6220116432 is about 78867.7147633935. The cubic root of 6220116432 is about 1839.0752710015.

Adding to 6220116432 its reverse (2346110226), we get a palindrome (8566226658).

The spelling of 6220116432 in words is "six billion, two hundred twenty million, one hundred sixteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 157 314 471 628 942 1256 1413 1884 2512 2826 3768 5652 7536 11304 22608 275129 550258 825387 1100516 1650774 2201032 2476161 3301548 4402064 4952322 6603096 9904644 13206192 19809288 39618576 43195253 86390506 129585759 172781012 259171518 345562024 388757277 518343036 691124048 777514554 1036686072 1555029108 2073372144 3110058216 6220116432