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216325032 = 2337111961101
BaseRepresentation
bin11001110010011…
…01101110101000
3120002001110011020
430321031232220
5420334400112
633244332440
75234506140
oct1471155650
9502043136
10216325032
11101123220
1260544120
1335a81aa1
1420a31920
1513ed148c
hexce4dba8

216325032 has 256 divisors, whose sum is σ = 728524800. Its totient is φ = 51840000.

The previous prime is 216325019. The next prime is 216325033. The reversal of 216325032 is 230523612.

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

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 216324993 and 216325011.

It is not an unprimeable number, because it can be changed into a prime (216325033) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2141782 + ... + 2141882.

It is an arithmetic number, because the mean of its divisors is an integer number (2845800).

Almost surely, 2216325032 is an apocalyptic number.

216325032 is a gapful number since it is divisible by the number (22) 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 216325032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364262400).

216325032 is an abundant number, since it is smaller than the sum of its proper divisors (512199768).

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

216325032 is a wasteful number, since it uses less digits than its factorization.

216325032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 204 counting only the distinct ones).

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

The square root of 216325032 is about 14707.9921131336. The cubic root of 216325032 is about 600.3008047245.

Adding to 216325032 its reverse (230523612), we get a palindrome (446848644).

The spelling of 216325032 in words is "two hundred sixteen million, three hundred twenty-five thousand, thirty-two".