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532216320 = 2935232131
BaseRepresentation
bin11111101110001…
…111101000000000
31101002110101112120
4133232033220000
52042221410240
6124451124240
716121523036
oct3756175000
91332411476
10532216320
11253470aa9
1212a2a3680
1386354acc
1450980556
1531acdad0
hex1fb8fa00

532216320 has 240 divisors, whose sum is σ = 1792197792. Its totient is φ = 134717440.

The previous prime is 532216303. The next prime is 532216337. The reversal of 532216320 is 23612235.

It is an interprime number because it is at equal distance from previous prime (532216303) and next prime (532216337).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×5322163202 = 566508422548684800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4062655 + ... + 4062785.

Almost surely, 2532216320 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 532216320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896098896).

532216320 is an abundant number, since it is smaller than the sum of its proper divisors (1259981472).

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

532216320 is a wasteful number, since it uses less digits than its factorization.

532216320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 532216320 is about 23069.8140434638. The cubic root of 532216320 is about 810.3937119681.

Adding to 532216320 its reverse (23612235), we get a palindrome (555828555).

The spelling of 532216320 in words is "five hundred thirty-two million, two hundred sixteen thousand, three hundred twenty".