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214425144 = 233636767
BaseRepresentation
bin11001100011111…
…01111000111000
3112221110221000000
430301331320320
5414343101034
633135513000
75212404123
oct1461757070
9487427000
10214425144
1110004586a
125b988760
13355680ab
14206993ba
1513c58599
hexcc7de38

214425144 has 56 divisors (see below), whose sum is σ = 602811360. Its totient is φ = 71473104.

The previous prime is 214425143. The next prime is 214425151. The reversal of 214425144 is 441524412.

214425144 is a `hidden beast` number, since 2 + 144 + 2 + 514 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214425143) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 12552 + ... + 24215.

Almost surely, 2214425144 is an apocalyptic number.

214425144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214425144 is an abundant number, since it is smaller than the sum of its proper divisors (388386216).

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

214425144 is an equidigital number, since it uses as much as digits as its factorization.

214425144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36791 (or 36772 counting only the distinct ones).

The product of its digits is 5120, while the sum is 27.

The square root of 214425144 is about 14643.2627511767. The cubic root of 214425144 is about 598.5382416630.

Adding to 214425144 its reverse (441524412), we get a palindrome (655949556).

The spelling of 214425144 in words is "two hundred fourteen million, four hundred twenty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2916 5832 36767 73534 110301 147068 220602 294136 330903 441204 661806 882408 992709 1323612 1985418 2647224 2978127 3970836 5956254 7941672 8934381 11912508 17868762 23825016 26803143 35737524 53606286 71475048 107212572 214425144