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215230320 = 243252341317
BaseRepresentation
bin11001101010000…
…10011101110000
3112222222211111100
430311002131300
5420044332240
633205044400
75222266434
oct1465023560
9488884440
10215230320
111005457a8
12600b6700
133578a726
14208289c4
1513d66e30
hexcd42770

215230320 has 240 divisors, whose sum is σ = 775075392. Its totient is φ = 53391360.

The previous prime is 215230313. The next prime is 215230321. The reversal of 215230320 is 23032512.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 215230293 and 215230302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215230321) 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 47 ways as a sum of consecutive naturals, for example, 678802 + ... + 679118.

Almost surely, 2215230320 is an apocalyptic number.

215230320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 215230320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387537696).

215230320 is an abundant number, since it is smaller than the sum of its proper divisors (559845072).

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

215230320 is a wasteful number, since it uses less digits than its factorization.

215230320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 215230320 is about 14670.7300431846. The cubic root of 215230320 is about 599.2864851640.

Adding to 215230320 its reverse (23032512), we get a palindrome (238262832).

The spelling of 215230320 in words is "two hundred fifteen million, two hundred thirty thousand, three hundred twenty".