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216298368 = 273211132101
BaseRepresentation
bin11001110010001…
…11001110000000
3120002000002120200
430321013032000
5420333021433
633244005200
75234335326
oct1471071600
9502002520
10216298368
11101105190
1260530800
1335a72900
1420a25d16
1513ec8613
hexce47380

216298368 has 288 divisors, whose sum is σ = 742533480. Its totient is φ = 59904000.

The previous prime is 216298351. The next prime is 216298403. The reversal of 216298368 is 863892612.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2141518 + ... + 2141618.

Almost surely, 2216298368 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 216298368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371266740).

216298368 is an abundant number, since it is smaller than the sum of its proper divisors (526235112).

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

216298368 is a wasteful number, since it uses less digits than its factorization.

216298368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 130 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 216298368 is about 14707.0856392421. The cubic root of 216298368 is about 600.2761395587.

The spelling of 216298368 in words is "two hundred sixteen million, two hundred ninety-eight thousand, three hundred sixty-eight".