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217714068 = 2234111337127
BaseRepresentation
bin11001111101000…
…00110110010100
3120011200000120000
430332200312110
5421213322233
633334211300
75252352615
oct1476406624
9504600500
10217714068
11101991890
1260ab3b30
133614a0c0
1420cb3c0c
15141a7d13
hexcfa0d94

217714068 has 240 divisors, whose sum is σ = 692127744. Its totient is φ = 58786560.

The previous prime is 217714051. The next prime is 217714073. The reversal of 217714068 is 860417712.

217714068 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1714221 + ... + 1714347.

Almost surely, 2217714068 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 217714068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346063872).

217714068 is an abundant number, since it is smaller than the sum of its proper divisors (474413676).

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

217714068 is a wasteful number, since it uses less digits than its factorization.

217714068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 217714068 is about 14755.1370037692. The cubic root of 217714068 is about 601.5829202666.

The spelling of 217714068 in words is "two hundred seventeen million, seven hundred fourteen thousand, sixty-eight".