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214414224 = 2434466963
BaseRepresentation
bin11001100011110…
…11001110010000
3112221110101000120
430301323032100
5414342223344
633135350240
75212330233
oct1461731620
9487411016
10214414224
11100038642
125b982380
133556312b
142069541a
1513c55219
hexcc7b390

214414224 has 20 divisors (see below), whose sum is σ = 553903536. Its totient is φ = 71471392.

The previous prime is 214414219. The next prime is 214414231. The reversal of 214414224 is 422414412.

214414224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 214414194 and 214414203.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2233434 + ... + 2233529.

Almost surely, 2214414224 is an apocalyptic number.

214414224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214414224 is an abundant number, since it is smaller than the sum of its proper divisors (339489312).

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

214414224 is a wasteful number, since it uses less digits than its factorization.

214414224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4466974 (or 4466968 counting only the distinct ones).

The product of its digits is 2048, while the sum is 24.

The square root of 214414224 is about 14642.8898787091. The cubic root of 214414224 is about 598.5280809321.

Adding to 214414224 its reverse (422414412), we get a palindrome (636828636).

It can be divided in two parts, 21441422 and 4, that added together give a triangular number (21441426 = T6548).

The spelling of 214414224 in words is "two hundred fourteen million, four hundred fourteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 4466963 8933926 13400889 17867852 26801778 35735704 53603556 71471408 107207112 214414224