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427221369 = 32613312351
BaseRepresentation
bin11001011101101…
…110000101111001
31002202220002112200
4121131232011321
51333332040434
6110220500413
713405215231
oct3135560571
91082802480
10427221369
111aa178813
12bb0aa709
136a682913
1440a4ccc1
152778e199
hex1976e179

427221369 has 24 divisors (see below), whose sum is σ = 629376384. Its totient is φ = 279180000.

The previous prime is 427221367. The next prime is 427221371. The reversal of 427221369 is 963122724.

427221369 is a `hidden beast` number, since 4 + 272 + 21 + 369 = 666.

It is an interprime number because it is at equal distance from previous prime (427221367) and next prime (427221371).

It is not a de Polignac number, because 427221369 - 21 = 427221367 is a prime.

It is a super-2 number, since 2×4272213692 = 365036196260468322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (427221367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180544 + ... + 182894.

It is an arithmetic number, because the mean of its divisors is an integer number (26224016).

Almost surely, 2427221369 is an apocalyptic number.

It is an amenable number.

427221369 is a deficient number, since it is larger than the sum of its proper divisors (202155015).

427221369 is a wasteful number, since it uses less digits than its factorization.

427221369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2749 (or 2746 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 427221369 is about 20669.3340241044. The cubic root of 427221369 is about 753.1549286248.

The spelling of 427221369 in words is "four hundred twenty-seven million, two hundred twenty-one thousand, three hundred sixty-nine".

Divisors: 1 3 9 61 183 331 549 993 2351 2979 7053 20191 21159 60573 143411 181719 430233 778181 1290699 2334543 7003629 47469041 142407123 427221369