Search a number
-
+
221424012 = 22326791801
BaseRepresentation
bin11010011001010…
…10100110001100
3120102122111122100
431030222212030
5423141032022
633545515100
75326034025
oct1514524614
9512574570
10221424012
11103a96157
12621a2a90
1336b48934
142159bc4c
151468c1ac
hexd32a98c

221424012 has 36 divisors (see below), whose sum is σ = 568070776. Its totient is φ = 72705600.

The previous prime is 221424001. The next prime is 221424029. The reversal of 221424012 is 210424122.

221424012 is a `hidden beast` number, since 221 + 42 + 401 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2214240122 = 98057186180352288, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43489 + ... + 48312.

Almost surely, 2221424012 is an apocalyptic number.

It is an amenable number.

221424012 is an abundant number, since it is smaller than the sum of its proper divisors (346646764).

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

221424012 is a wasteful number, since it uses less digits than its factorization.

221424012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91878 (or 91873 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 221424012 is about 14880.3229803657. The cubic root of 221424012 is about 604.9807721048.

Adding to 221424012 its reverse (210424122), we get a palindrome (431848134).

The spelling of 221424012 in words is "two hundred twenty-one million, four hundred twenty-four thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 201 268 402 603 804 1206 2412 91801 183602 275403 367204 550806 826209 1101612 1652418 3304836 6150667 12301334 18452001 24602668 36904002 55356003 73808004 110712006 221424012