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221066406 = 232111958763
BaseRepresentation
bin11010010110100…
…11010010100110
3120101222100002200
431023103102212
5423043111111
633534115330
75323014321
oct1513232246
9511870080
10221066406
11103871510
126204bb46
1336a51c32
14215077b8
151461b256
hexd2d34a6

221066406 has 48 divisors (see below), whose sum is σ = 550031040. Its totient is φ = 63462960.

The previous prime is 221066399. The next prime is 221066441. The reversal of 221066406 is 604660122.

It is a happy number.

221066406 is a `hidden beast` number, since 2 + 2 + 10 + 6 + 640 + 6 = 666.

221066406 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 221066406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25620 + ... + 33143.

It is an arithmetic number, because the mean of its divisors is an integer number (11458980).

Almost surely, 2221066406 is an apocalyptic number.

221066406 is an abundant number, since it is smaller than the sum of its proper divisors (328964634).

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

221066406 is a wasteful number, since it uses less digits than its factorization.

221066406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58801 (or 58798 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 221066406 is about 14868.3020550431. The cubic root of 221066406 is about 604.6549096351.

The spelling of 221066406 in words is "two hundred twenty-one million, sixty-six thousand, four hundred six".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 171 198 209 342 418 627 1254 1881 3762 58763 117526 176289 352578 528867 646393 1057734 1116497 1292786 1939179 2232994 3349491 3878358 5817537 6698982 10048473 11635074 12281467 20096946 24562934 36844401 73688802 110533203 221066406