Base | Representation |
---|---|
bin | 11001110000001… |
… | …01100010010000 |
3 | 120001111102112020 |
4 | 30320011202100 |
5 | 420300414303 |
6 | 33234131440 |
7 | 5232135054 |
oct | 1470054220 |
9 | 501442466 |
10 | 216029328 |
11 | 100a41039 |
12 | 60420b80 |
13 | 359aa308 |
14 | 20995c64 |
15 | 13e73a53 |
hex | ce05890 |
216029328 has 80 divisors (see below), whose sum is σ = 590295552. Its totient is φ = 67968000.
The previous prime is 216029321. The next prime is 216029399. The reversal of 216029328 is 823920612.
It is a happy number.
It is a super-2 number, since 2×2160293282 = 93337341112263168, which contains 22 as substring.
It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.
It is not an unprimeable number, because it can be changed into a prime (216029321) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59238 + ... + 62778.
Almost surely, 2216029328 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 216029328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295147776).
216029328 is an abundant number, since it is smaller than the sum of its proper divisors (374266224).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
216029328 is a wasteful number, since it uses less digits than its factorization.
216029328 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3624 (or 3618 counting only the distinct ones).
The product of its (nonzero) digits is 10368, while the sum is 33.
The square root of 216029328 is about 14697.9361816549. The cubic root of 216029328 is about 600.0271543266.
The spelling of 216029328 in words is "two hundred sixteen million, twenty-nine thousand, three hundred twenty-eight".
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