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6225231420 = 22325103467719
BaseRepresentation
bin1011100110000110…
…10111111000111100
3121001211212112002200
411303003113320330
5100222124401140
62505420151500
7310160410512
oct56303277074
917054775080
106225231420
112704a87561
121258998590
137829486b5
14430abc4b2
152667c8030
hex1730d7e3c

6225231420 has 144 divisors (see below), whose sum is σ = 19133936640. Its totient is φ = 1638142848.

The previous prime is 6225231409. The next prime is 6225231491. The reversal of 6225231420 is 241325226.

It is a happy number.

6225231420 is a `hidden beast` number, since 6 + 2 + 2 + 5 + 231 + 420 = 666.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 8657821 + ... + 8658539.

It is an arithmetic number, because the mean of its divisors is an integer number (132874560).

Almost surely, 26225231420 is an apocalyptic number.

6225231420 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6225231420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9566968320).

6225231420 is an abundant number, since it is smaller than the sum of its proper divisors (12908705220).

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

6225231420 is a wasteful number, since it uses less digits than its factorization.

6225231420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 6225231420 is about 78900.1357413281. The cubic root of 6225231420 is about 1839.5792417718.

Adding to 6225231420 its reverse (241325226), we get a palindrome (6466556646).

The spelling of 6225231420 in words is "six billion, two hundred twenty-five million, two hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 103 180 206 309 412 467 515 618 719 927 934 1030 1236 1401 1438 1545 1854 1868 2060 2157 2335 2802 2876 3090 3595 3708 4203 4314 4635 4670 5604 6180 6471 7005 7190 8406 8628 9270 9340 10785 12942 14010 14380 16812 18540 21015 21570 25884 28020 32355 42030 43140 48101 64710 74057 84060 96202 129420 144303 148114 192404 222171 240505 288606 296228 335773 370285 432909 444342 481010 577212 666513 671546 721515 740570 865818 888684 962020 1007319 1110855 1333026 1343092 1443030 1481140 1678865 1731636 2014638 2164545 2221710 2666052 2886060 3021957 3332565 3357730 4029276 4329090 4443420 5036595 6043914 6665130 6715460 8658180 10073190 12087828 13330260 15109785 20146380 30219570 34584619 60439140 69169238 103753857 138338476 172923095 207507714 311261571 345846190 415015428 518769285 622523142 691692380 1037538570 1245046284 1556307855 2075077140 3112615710 6225231420