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6406800228 = 22321967139801
BaseRepresentation
bin1011111011110000…
…00000001101100100
3121112111112011200100
411331320000031210
5101110120101403
62535423544100
7314523621603
oct57570001544
917474464610
106406800228
112798520924
1212a975b030
137b144b66a
1444ac63a3a
152776e12a3
hex17de00364

6406800228 has 72 divisors (see below), whose sum is σ = 17301895520. Its totient is φ = 1992988800.

The previous prime is 6406800227. The next prime is 6406800289. The reversal of 6406800228 is 8220086046.

6406800228 is a `hidden beast` number, since 640 + 6 + 8 + 0 + 0 + 2 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6406800192 and 6406800201.

It is not an unprimeable number, because it can be changed into a prime (6406800227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24073 + ... + 115728.

Almost surely, 26406800228 is an apocalyptic number.

It is an amenable number.

6406800228 is an abundant number, since it is smaller than the sum of its proper divisors (10895095292).

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

6406800228 is a wasteful number, since it uses less digits than its factorization.

6406800228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139897 (or 139892 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 6406800228 is about 80042.4901411744. The cubic root of 6406800228 is about 1857.2928811472.

The spelling of 6406800228 in words is "six billion, four hundred six million, eight hundred thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 67 76 114 134 171 201 228 268 342 402 603 684 804 1206 1273 2412 2546 3819 5092 7638 11457 15276 22914 45828 139801 279602 419403 559204 838806 1258209 1677612 2516418 2656219 5032836 5312438 7968657 9366667 10624876 15937314 18733334 23905971 28100001 31874628 37466668 47811942 56200002 84300003 95623884 112400004 168600006 177966673 337200012 355933346 533900019 711866692 1067800038 1601700057 2135600076 3203400114 6406800228