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217074 = 231121323
BaseRepresentation
bin110100111111110010
3102000202210
4310333302
523421244
64352550
71562604
oct647762
9360683
10217074
11139100
12a5756
1377a60
1459174
15444b9
hex34ff2

217074 has 48 divisors (see below), whose sum is σ = 536256. Its totient is φ = 58080.

The previous prime is 217069. The next prime is 217081. The reversal of 217074 is 470712.

It is a super-2 number, since 2×2170742 = 94242242952, which contains 22 as substring.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 217074.

It is a congruent number.

It is an unprimeable number.

217074 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9427 + ... + 9449.

It is an arithmetic number, because the mean of its divisors is an integer number (11172).

2217074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 217074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268128).

217074 is an abundant number, since it is smaller than the sum of its proper divisors (319182).

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

217074 is a wasteful number, since it uses less digits than its factorization.

217074 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 21.

The square root of 217074 is about 465.9120088600. The cubic root of 217074 is about 60.0992800783.

Multiplying 217074 by its sum of digits (21), we get a palindrome (4558554).

Adding to 217074 its reverse (470712), we get a palindrome (687786).

The spelling of 217074 in words is "two hundred seventeen thousand, seventy-four", and thus it is an iban number.

Divisors: 1 2 3 6 11 13 22 23 26 33 39 46 66 69 78 121 138 143 242 253 286 299 363 429 506 598 726 759 858 897 1518 1573 1794 2783 3146 3289 4719 5566 6578 8349 9438 9867 16698 19734 36179 72358 108537 217074