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221368 = 2375967
BaseRepresentation
bin110110000010111000
3102020122211
4312002320
524040433
64424504
71611250
oct660270
9366584
10221368
11141354
12a8134
13799b4
145a960
15458cd
hex360b8

221368 has 32 divisors (see below), whose sum is σ = 489600. Its totient is φ = 91872.

The previous prime is 221327. The next prime is 221393. The reversal of 221368 is 863122.

It is a plaindrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3271 + ... + 3337.

It is an arithmetic number, because the mean of its divisors is an integer number (15300).

2221368 is an apocalyptic number.

221368 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244800).

221368 is an abundant number, since it is smaller than the sum of its proper divisors (268232).

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

221368 is a wasteful number, since it uses less digits than its factorization.

221368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 135 counting only the distinct ones).

The product of its digits is 576, while the sum is 22.

The square root of 221368 is about 470.4976089206. The cubic root of 221368 is about 60.4929755294.

The spelling of 221368 in words is "two hundred twenty-one thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 56 59 67 118 134 236 268 413 469 472 536 826 938 1652 1876 3304 3752 3953 7906 15812 27671 31624 55342 110684 221368