Search a number
-
+
146287422 = 23219521821
BaseRepresentation
bin10001011100000…
…10101100111110
3101012021011121200
420232002230332
5244422144142
622303240330
73424264641
oct1056025476
9335234550
10146287422
11756369a6
1240ba90a6
13243cc108
14155dda58
15cc9964c
hex8b82b3e

146287422 has 48 divisors (see below), whose sum is σ = 334685520. Its totient is φ = 46051200.

The previous prime is 146287411. The next prime is 146287423. The reversal of 146287422 is 224782641.

146287422 is a `hidden beast` number, since 1 + 4 + 628 + 7 + 4 + 22 = 666.

146287422 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 (146287423) 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, 177772 + ... + 178592.

It is an arithmetic number, because the mean of its divisors is an integer number (6972615).

Almost surely, 2146287422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146287422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167342760).

146287422 is an abundant number, since it is smaller than the sum of its proper divisors (188398098).

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

146287422 is a wasteful number, since it uses less digits than its factorization.

146287422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1369 (or 1366 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 146287422 is about 12094.9337327660. The cubic root of 146287422 is about 526.9090551393.

The spelling of 146287422 in words is "one hundred forty-six million, two hundred eighty-seven thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 521 821 1042 1563 1642 2463 3126 4689 4926 7389 9378 9899 14778 15599 19798 29697 31198 46797 59394 89091 93594 140391 178182 280782 427741 855482 1283223 2566446 3849669 7699338 8127079 16254158 24381237 48762474 73143711 146287422