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138223332 = 2232132631123
BaseRepresentation
bin10000011110100…
…01111011100100
3100122002110202200
420033101323210
5240341121312
621414334500
73265610322
oct1017217344
9318073680
10138223332
1171029265
123a35a430
1322837770
1414500d12
15c2050dc
hex83d1ee4

138223332 has 72 divisors (see below), whose sum is σ = 378041664. Its totient is φ = 42330816.

The previous prime is 138223331. The next prime is 138223361. The reversal of 138223332 is 233322831.

138223332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 138223296 and 138223305.

It is not an unprimeable number, because it can be changed into a prime (138223331) 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, 122523 + ... + 123645.

Almost surely, 2138223332 is an apocalyptic number.

138223332 is a gapful number since it is divisible by the number (12) 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 138223332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189020832).

138223332 is an abundant number, since it is smaller than the sum of its proper divisors (239818332).

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

138223332 is a wasteful number, since it uses less digits than its factorization.

138223332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1409 (or 1404 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 138223332 is about 11756.8419228975. The cubic root of 138223332 is about 517.0435434544.

The spelling of 138223332 in words is "one hundred thirty-eight million, two hundred twenty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 263 468 526 789 1052 1123 1578 2246 2367 3156 3369 3419 4492 4734 6738 6838 9468 10107 10257 13476 13676 14599 20214 20514 29198 30771 40428 41028 43797 58396 61542 87594 123084 131391 175188 262782 295349 525564 590698 886047 1181396 1772094 2658141 3544188 3839537 5316282 7679074 10632564 11518611 15358148 23037222 34555833 46074444 69111666 138223332