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643400226 = 23373154907
BaseRepresentation
bin100110010110011…
…000001000100010
31122211200010012000
4212112120020202
52304202301401
6143502144430
721641545260
oct4626301042
91584603160
10643400226
11300201127
1215b582116
13a33b2cc1
1461643430
153b742186
hex26598222

643400226 has 64 divisors (see below), whose sum is σ = 1686773760. Its totient is φ = 177895440.

The previous prime is 643400213. The next prime is 643400237. The reversal of 643400226 is 622004346.

643400226 is a `hidden beast` number, since 6 + 434 + 0 + 0 + 226 = 666.

It is a super-3 number, since 3×6434002263 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 643400226.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15736 + ... + 39171.

It is an arithmetic number, because the mean of its divisors is an integer number (26355840).

Almost surely, 2643400226 is an apocalyptic number.

643400226 is an abundant number, since it is smaller than the sum of its proper divisors (1043373534).

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

643400226 is a wasteful number, since it uses less digits than its factorization.

643400226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54956 (or 54950 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 643400226 is about 25365.3351249298. The cubic root of 643400226 is about 863.2973405519.

The spelling of 643400226 in words is "six hundred forty-three million, four hundred thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 54 62 63 93 126 186 189 217 279 378 434 558 651 837 1302 1674 1953 3906 5859 11718 54907 109814 164721 329442 384349 494163 768698 988326 1153047 1482489 1702117 2306094 2964978 3404234 3459141 5106351 6918282 10212702 10377423 11914819 15319053 20754846 23829638 30638106 35744457 45957159 71488914 91914318 107233371 214466742 321700113 643400226