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557100666 = 23422915017
BaseRepresentation
bin100001001101001…
…010111001111010
31102211021122110000
4201031022321322
52120104210131
6131140333430
716543164123
oct4115127172
91384248400
10557100666
11266517a81
121366a4276
138b558485
1453dbb04a
1533d96ce6
hex2134ae7a

557100666 has 40 divisors (see below), whose sum is σ = 1253852820. Its totient is φ = 184876992.

The previous prime is 557100629. The next prime is 557100667. The reversal of 557100666 is 666001755.

It is a happy number.

557100666 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 539586441 + 17514225 = 23229^2 + 4185^2 .

It is a super-2 number, since 2×5571006662 = 620722304115287112, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 557100666.

It is not an unprimeable number, because it can be changed into a prime (557100667) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 29590 + ... + 44606.

Almost surely, 2557100666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 557100666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626926410).

557100666 is an abundant number, since it is smaller than the sum of its proper divisors (696752154).

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

557100666 is a wasteful number, since it uses less digits than its factorization.

557100666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15260 (or 15251 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 557100666 is about 23602.9800237173. The cubic root of 557100666 is about 822.8321000098.

The spelling of 557100666 in words is "five hundred fifty-seven million, one hundred thousand, six hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 229 458 687 1374 2061 4122 6183 12366 15017 18549 30034 37098 45051 90102 135153 270306 405459 810918 1216377 2432754 3438893 6877786 10316679 20633358 30950037 61900074 92850111 185700222 278550333 557100666