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138886224 = 2437183491
BaseRepresentation
bin10000100011100…
…11110001010000
3100200100011002020
420101303301100
5241023324344
621440451440
73304341051
oct1021636120
9320304066
10138886224
1171441304
123a619b80
1322a0a3c9
1414634728
15c2d6719
hex8473c50

138886224 has 80 divisors (see below), whose sum is σ = 368976384. Its totient is φ = 45001600.

The previous prime is 138886207. The next prime is 138886261. The reversal of 138886224 is 422688831.

It is a happy number.

It is a Cunningham number, because it is equal to 117852-1.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 282619 + ... + 283109.

Almost surely, 2138886224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138886224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184488192).

138886224 is an abundant number, since it is smaller than the sum of its proper divisors (230090160).

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

138886224 is a wasteful number, since it uses less digits than its factorization.

138886224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 650 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 138886224 is about 11784.9999575732. Note that the first 4 decimals coincide. The cubic root of 138886224 is about 517.8687721327.

The spelling of 138886224 in words is "one hundred thirty-eight million, eight hundred eighty-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 83 142 166 213 249 284 332 426 491 498 568 664 852 982 996 1136 1328 1473 1704 1964 1992 2946 3408 3928 3984 5892 5893 7856 11784 11786 17679 23568 23572 34861 35358 40753 47144 69722 70716 81506 94288 104583 122259 139444 141432 163012 209166 244518 278888 282864 326024 418332 489036 557776 652048 836664 978072 1673328 1956144 2893463 5786926 8680389 11573852 17360778 23147704 34721556 46295408 69443112 138886224