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557225020 = 2251125110091
BaseRepresentation
bin100001001101101…
…001010000111100
31102211111222000201
4201031221100330
52120122200040
6131143133244
716544222512
oct4115512074
91384458021
10557225020
112665a2450
12136744224
138b59cc61
14540104b2
1533dbda9a
hex2136943c

557225020 has 48 divisors (see below), whose sum is σ = 1281764736. Its totient is φ = 201800000.

The previous prime is 557224981. The next prime is 557225021. The reversal of 557225020 is 20522755.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 557225020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557225021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50175 + ... + 60265.

It is an arithmetic number, because the mean of its divisors is an integer number (26703432).

Almost surely, 2557225020 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 557225020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640882368).

557225020 is an abundant number, since it is smaller than the sum of its proper divisors (724539716).

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

557225020 is a wasteful number, since it uses less digits than its factorization.

557225020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10362 (or 10360 counting only the distinct ones).

The product of its (nonzero) digits is 7000, while the sum is 28.

The square root of 557225020 is about 23605.6141627368. The cubic root of 557225020 is about 822.8933186589.

Adding to 557225020 its reverse (20522755), we get a palindrome (577747775).

The spelling of 557225020 in words is "five hundred fifty-seven million, two hundred twenty-five thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 251 502 1004 1255 2510 2761 5020 5522 10091 11044 13805 20182 27610 40364 50455 55220 100910 111001 201820 222002 444004 555005 1110010 2220020 2532841 5065682 10131364 12664205 25328410 27861251 50656820 55722502 111445004 139306255 278612510 557225020