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214323144 = 23371797127
BaseRepresentation
bin11001100011001…
…00111111001000
3112221021202002020
430301210333020
5414331320034
633133404440
75211500550
oct1461447710
9487252066
10214323144
11aaa86172
125b939720
1335530839
1420670160
1513c38249
hexcc64fc8

214323144 has 64 divisors (see below), whose sum is σ = 615859200. Its totient is φ = 60884544.

The previous prime is 214323143. The next prime is 214323157. The reversal of 214323144 is 441323412.

214323144 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 not an unprimeable number, because it can be changed into a prime (214323143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26509 + ... + 33635.

It is an arithmetic number, because the mean of its divisors is an integer number (9622800).

Almost surely, 2214323144 is an apocalyptic number.

214323144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214323144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307929600).

214323144 is an abundant number, since it is smaller than the sum of its proper divisors (401536056).

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

214323144 is a wasteful number, since it uses less digits than its factorization.

214323144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7322 (or 7318 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 214323144 is about 14639.7795065363. The cubic root of 214323144 is about 598.4433202955.

Adding to 214323144 its reverse (441323412), we get a palindrome (655646556).

The spelling of 214323144 in words is "two hundred fourteen million, three hundred twenty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 179 358 537 716 1074 1253 1432 2148 2506 3759 4296 5012 7127 7518 10024 14254 15036 21381 28508 30072 42762 49889 57016 85524 99778 149667 171048 199556 299334 399112 598668 1197336 1275733 2551466 3827199 5102932 7654398 8930131 10205864 15308796 17860262 26790393 30617592 35720524 53580786 71441048 107161572 214323144