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217295140 = 22510864757
BaseRepresentation
bin11001111001110…
…10100100100100
3120010212201220011
430330322210210
5421111421030
633321220004
75245656346
oct1474724444
9503781804
10217295140
11101726067
1260931604
133603150a
1420c05296
1514123b2a
hexcf3a924

217295140 has 12 divisors (see below), whose sum is σ = 456319836. Its totient is φ = 86918048.

The previous prime is 217295129. The next prime is 217295149. The reversal of 217295140 is 41592712.

217295140 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 123476544 + 93818596 = 11112^2 + 9686^2 .

It is not an unprimeable number, because it can be changed into a prime (217295149) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5432359 + ... + 5432398.

It is an arithmetic number, because the mean of its divisors is an integer number (38026653).

Almost surely, 2217295140 is an apocalyptic number.

217295140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

217295140 is an abundant number, since it is smaller than the sum of its proper divisors (239024696).

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

217295140 is a wasteful number, since it uses less digits than its factorization.

217295140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10864766 (or 10864764 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 217295140 is about 14740.9341630712. The cubic root of 217295140 is about 601.1968148401.

The spelling of 217295140 in words is "two hundred seventeen million, two hundred ninety-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 10864757 21729514 43459028 54323785 108647570 217295140