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575225280 = 2633579511
BaseRepresentation
bin100010010010010…
…011110111000000
31111002101110202000
4202102103313000
52134224202110
6133025024000
720153222430
oct4222236700
91432343660
10575225280
112757772a3
12140785000
13922330b6
14565782c0
15357771c0
hex22493dc0

575225280 has 224 divisors, whose sum is σ = 2319406080. Its totient is φ = 131466240.

The previous prime is 575225263. The next prime is 575225281. The reversal of 575225280 is 82522575.

575225280 is a `hidden beast` number, since 5 + 7 + 522 + 52 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (575225281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55725 + ... + 65235.

Almost surely, 2575225280 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 575225280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1159703040).

575225280 is an abundant number, since it is smaller than the sum of its proper divisors (1744180800).

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

575225280 is a wasteful number, since it uses less digits than its factorization.

575225280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9544 (or 9528 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 575225280 is about 23983.8545692722. The cubic root of 575225280 is about 831.6603334890.

The spelling of 575225280 in words is "five hundred seventy-five million, two hundred twenty-five thousand, two hundred eighty".