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138442227 = 37111931543
BaseRepresentation
bin10000100000001…
…11010111110011
3100122111121000220
420100013113303
5240420122402
621423144123
73300511440
oct1020072763
9318447026
10138442227
1171168770
123a445043
13228b32a1
141455a9c7
15c249dbc
hex84075f3

138442227 has 32 divisors (see below), whose sum is σ = 242257920. Its totient is φ = 68130720.

The previous prime is 138442217. The next prime is 138442231. The reversal of 138442227 is 722244831.

It is a happy number.

It is not a de Polignac number, because 138442227 - 26 = 138442163 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (138442217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11383 + ... + 20160.

It is an arithmetic number, because the mean of its divisors is an integer number (7570560).

Almost surely, 2138442227 is an apocalyptic number.

138442227 is a deficient number, since it is larger than the sum of its proper divisors (103815693).

138442227 is a wasteful number, since it uses less digits than its factorization.

138442227 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31583.

The product of its digits is 21504, while the sum is 33.

The square root of 138442227 is about 11766.1475003503. The cubic root of 138442227 is about 517.3163352064.

The spelling of 138442227 in words is "one hundred thirty-eight million, four hundred forty-two thousand, two hundred twenty-seven".

Divisors: 1 3 7 11 19 21 33 57 77 133 209 231 399 627 1463 4389 31543 94629 220801 346973 599317 662403 1040919 1797951 2428811 4195219 6592487 7286433 12585657 19777461 46147409 138442227