Search a number
-
+
138227544 = 233271317273
BaseRepresentation
bin10000011110100…
…10111101011000
3100122002200112200
420033102331120
5240341240134
621414410200
73265625520
oct1017227530
9318080480
10138227544
1171031444
123a360960
1322839660
1414502680
15c206499
hex83d2f58

138227544 has 288 divisors, whose sum is σ = 496161120. Its totient is φ = 33841152.

The previous prime is 138227513. The next prime is 138227549. The reversal of 138227544 is 445722831.

It is a happy number.

138227544 is a `hidden beast` number, since 1 + 382 + 275 + 4 + 4 = 666.

138227544 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 138227499 and 138227508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138227549) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1893492 + ... + 1893564.

Almost surely, 2138227544 is an apocalyptic number.

138227544 is a gapful number since it is divisible by the number (14) 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 138227544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248080560).

138227544 is an abundant number, since it is smaller than the sum of its proper divisors (357933576).

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

138227544 is a wasteful number, since it uses less digits than its factorization.

138227544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 115 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 138227544 is about 11757.0210512697. The cubic root of 138227544 is about 517.0487952578.

The spelling of 138227544 in words is "one hundred thirty-eight million, two hundred twenty-seven thousand, five hundred forty-four".