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217312152 = 2339054673
BaseRepresentation
bin11001111001111…
…10101110011000
3120010220121020020
430330332232120
5421112442102
633321430440
75246060061
oct1474765630
9503817206
10217312152
11101737922
126093b420
1336039195
1420c0b568
1514128bbc
hexcf3eb98

217312152 has 16 divisors (see below), whose sum is σ = 543280440. Its totient is φ = 72437376.

The previous prime is 217312141. The next prime is 217312169. The reversal of 217312152 is 251213712.

It is a super-2 number, since 2×2173121522 = 94449142813742208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 9054673 = 217312152 / (2 + 1 + 7 + 3 + 1 + 2 + 1 + 5 + 2).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4527313 + ... + 4527360.

Almost surely, 2217312152 is an apocalyptic number.

It is an amenable number.

217312152 is an abundant number, since it is smaller than the sum of its proper divisors (325968288).

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

217312152 is a wasteful number, since it uses less digits than its factorization.

217312152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9054682 (or 9054678 counting only the distinct ones).

The product of its digits is 840, while the sum is 24.

The square root of 217312152 is about 14741.5111844071. The cubic root of 217312152 is about 601.2125036299.

Adding to 217312152 its reverse (251213712), we get a palindrome (468525864).

The spelling of 217312152 in words is "two hundred seventeen million, three hundred twelve thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 9054673 18109346 27164019 36218692 54328038 72437384 108656076 217312152