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217282068 = 22334094919
BaseRepresentation
bin11001111001101…
…11011000010100
3120010212001222000
430330313120110
5421111011233
633321035300
75245603263
oct1474673024
9503761860
10217282068
11101717263
1260925b30
1336028593
1420c005da
151411ed13
hexcf37614

217282068 has 48 divisors (see below), whose sum is σ = 564816000. Its totient is φ = 72235584.

The previous prime is 217282063. The next prime is 217282099. The reversal of 217282068 is 860282712.

It is a happy number.

It is a super-2 number, since 2×2172820682 = 94422994148713248, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217282063) 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, 41713 + ... + 46631.

It is an arithmetic number, because the mean of its divisors is an integer number (11767000).

Almost surely, 2217282068 is an apocalyptic number.

It is an amenable number.

217282068 is an abundant number, since it is smaller than the sum of its proper divisors (347533932).

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

217282068 is a wasteful number, since it uses less digits than its factorization.

217282068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5341 (or 5333 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 217282068 is about 14740.4907652357. The cubic root of 217282068 is about 601.1847590369.

The spelling of 217282068 in words is "two hundred seventeen million, two hundred eighty-two thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 409 818 1227 1636 2454 3681 4908 4919 7362 9838 11043 14724 14757 19676 22086 29514 44172 44271 59028 88542 132813 177084 265626 531252 2011871 4023742 6035613 8047484 12071226 18106839 24142452 36213678 54320517 72427356 108641034 217282068