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214564096 = 28838141
BaseRepresentation
bin11001100100111…
…11110100000000
3112221201222121101
430302133310000
5414412022341
633142504144
75213523205
oct1462376400
9487658541
10214564096
111001301aa
125ba35054
13355b6406
14206d3cac
1513c84831
hexcc9fd00

214564096 has 18 divisors (see below), whose sum is σ = 428290562. Its totient is φ = 107281920.

The previous prime is 214564081. The next prime is 214564139. The reversal of 214564096 is 690465412.

It can be written as a sum of positive squares in only one way, i.e., 161798400 + 52765696 = 12720^2 + 7264^2 .

It is a congruent number.

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 as a sum of consecutive naturals, namely, 418815 + ... + 419326.

Almost surely, 2214564096 is an apocalyptic number.

It is an amenable number.

214564096 is a deficient number, since it is larger than the sum of its proper divisors (213726466).

214564096 is an frugal number, since it uses more digits than its factorization.

214564096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838157 (or 838143 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 214564096 is about 14648.0065537943. The cubic root of 214564096 is about 598.6675021993.

It can be divided in two parts, 21456 and 4096, that added together give a palindrome (25552).

The spelling of 214564096 in words is "two hundred fourteen million, five hundred sixty-four thousand, ninety-six".

Divisors: 1 2 4 8 16 32 64 128 256 838141 1676282 3352564 6705128 13410256 26820512 53641024 107282048 214564096