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144362214 = 232232391459
BaseRepresentation
bin10001001101011…
…00101011100110
3101001122100201200
420212230223212
5243424042324
622154103330
73402026043
oct1046545346
9331570650
10144362214
1174541517
124041ab46
1323ba6a39
141525c1ca
15ca18ec9
hex89acae6

144362214 has 48 divisors (see below), whose sum is σ = 327974400. Its totient is φ = 45804528.

The previous prime is 144362213. The next prime is 144362233. The reversal of 144362214 is 412263441.

It is a happy number.

144362214 is a `hidden beast` number, since 1 + 4 + 436 + 221 + 4 = 666.

144362214 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144362213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98217 + ... + 99675.

It is an arithmetic number, because the mean of its divisors is an integer number (6832800).

Almost surely, 2144362214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144362214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163987200).

144362214 is an abundant number, since it is smaller than the sum of its proper divisors (183612186).

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

144362214 is a wasteful number, since it uses less digits than its factorization.

144362214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1729 (or 1726 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 144362214 is about 12015.0827712505. The cubic root of 144362214 is about 524.5873873654.

The spelling of 144362214 in words is "one hundred forty-four million, three hundred sixty-two thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 239 414 478 717 1434 1459 2151 2918 4302 4377 5497 8754 10994 13131 16491 26262 32982 33557 49473 67114 98946 100671 201342 302013 348701 604026 697402 1046103 2092206 3138309 6276618 8020123 16040246 24060369 48120738 72181107 144362214