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557202240 = 2634573783
BaseRepresentation
bin100001001101100…
…011101101000000
31102211110210210000
4201031203231000
52120120432430
6131142440000
716544066220
oct4115435500
91384423700
10557202240
11266587321
12136733000
138b59278a
1454006080
1533db6e60
hex21363b40

557202240 has 560 divisors, whose sum is σ = 2354470272. Its totient is φ = 122425344.

The previous prime is 557202229. The next prime is 557202253. The reversal of 557202240 is 42202755.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×5572022402 = 620948672522035200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6713239 + ... + 6713321.

Almost surely, 2557202240 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 557202240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1177235136).

557202240 is an abundant number, since it is smaller than the sum of its proper divisors (1797268032).

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

557202240 is a wasteful number, since it uses less digits than its factorization.

557202240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 557202240 is about 23605.1316454707. The cubic root of 557202240 is about 822.8821048975.

Adding to 557202240 its reverse (42202755), we get a palindrome (599404995).

The spelling of 557202240 in words is "five hundred fifty-seven million, two hundred two thousand, two hundred forty".