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6225353472 = 283133671699
BaseRepresentation
bin1011100110000111…
…10101101100000000
3121001212002201112010
411303003311230000
5100222142302342
62505422532520
7310161426402
oct56303655400
917055081463
106225353472
112705060228
121258a37140
1378298c110
14430b10b72
152667ee29c
hex1730f5b00

6225353472 has 144 divisors (see below), whose sum is σ = 17902169600. Its totient is φ = 1909149696.

The previous prime is 6225353429. The next prime is 6225353479. The reversal of 6225353472 is 2743535226.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 6225353472.

It is not an unprimeable number, because it can be changed into a prime (6225353479) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3663279 + ... + 3664977.

Almost surely, 26225353472 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 6225353472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8951084800).

6225353472 is an abundant number, since it is smaller than the sum of its proper divisors (11676816128).

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

6225353472 is a wasteful number, since it uses less digits than its factorization.

6225353472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2098 (or 2084 counting only the distinct ones).

The product of its digits is 302400, while the sum is 39.

The square root of 6225353472 is about 78900.9091962824. The cubic root of 6225353472 is about 1839.5912639679.

Adding to 6225353472 its reverse (2743535226), we get a palindrome (8968888698).

The spelling of 6225353472 in words is "six billion, two hundred twenty-five million, three hundred fifty-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 367 384 416 624 734 768 832 1101 1248 1468 1664 1699 2202 2496 2936 3328 3398 4404 4771 4992 5097 5872 6796 8808 9542 9984 10194 11744 13592 14313 17616 19084 20388 22087 23488 27184 28626 35232 38168 40776 44174 46976 54368 57252 66261 70464 76336 81552 88348 93952 108736 114504 132522 140928 152672 163104 176696 217472 229008 265044 281856 305344 326208 353392 434944 458016 530088 610688 623533 652416 706784 916032 1060176 1221376 1247066 1304832 1413568 1832064 1870599 2120352 2494132 2827136 3664128 3741198 4240704 4988264 5654272 7482396 8105929 8481408 9976528 14964792 16211858 16962816 19953056 24317787 29929584 32423716 39906112 48635574 59859168 64847432 79812224 97271148 119718336 129694864 159624448 194542296 239436672 259389728 389084592 478873344 518779456 778169184 1037558912 1556338368 2075117824 3112676736 6225353472