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221274 = 23219647
BaseRepresentation
bin110110000001011010
3102020112100
4312001122
524040044
64424230
71611054
oct660132
9366470
10221274
11141279
12a8076
1379941
145a8d4
1545869
hex3605a

221274 has 24 divisors (see below), whose sum is σ = 505440. Its totient is φ = 69768.

The previous prime is 221261. The next prime is 221281. The reversal of 221274 is 472122.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 221274.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19 + ... + 665.

It is an arithmetic number, because the mean of its divisors is an integer number (21060).

2221274 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252720).

221274 is an abundant number, since it is smaller than the sum of its proper divisors (284166).

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

221274 is a wasteful number, since it uses less digits than its factorization.

221274 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 671 counting only the distinct ones).

The product of its digits is 224, while the sum is 18.

The square root of 221274 is about 470.3977040760. The cubic root of 221274 is about 60.4844118937.

Adding to 221274 its reverse (472122), we get a palindrome (693396).

It can be divided in two parts, 22 and 1274, that added together give a 4-th power (1296 = 64).

The spelling of 221274 in words is "two hundred twenty-one thousand, two hundred seventy-four", and thus it is an iban number.

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 647 1294 1941 3882 5823 11646 12293 24586 36879 73758 110637 221274