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10238005224 = 23321633672377
BaseRepresentation
bin10011000100011101…
…11000111111101000
3222102111121112220200
421202032320333220
5131431412131344
64411523552200
7511464415506
oct114216707750
928374545820
1010238005224
1143840a5947
121b9882b660
13c720c0375
146d19d9676
153edc23069
hex2623b8fe8

10238005224 has 96 divisors (see below), whose sum is σ = 27985825920. Its totient is φ = 3381067008.

The previous prime is 10238005213. The next prime is 10238005229. The reversal of 10238005224 is 42250083201.

10238005224 is a `hidden beast` number, since 102 + 38 + 0 + 0 + 522 + 4 = 666.

It is a super-3 number, since 3×102380052243 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10238005229) 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, 4305924 + ... + 4308300.

It is an arithmetic number, because the mean of its divisors is an integer number (291519020).

Almost surely, 210238005224 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 10238005224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13992912960).

10238005224 is an abundant number, since it is smaller than the sum of its proper divisors (17747820696).

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

10238005224 is a wasteful number, since it uses less digits than its factorization.

10238005224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2919 (or 2912 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 10238005224 its reverse (42250083201), we get a palindrome (52488088425).

The spelling of 10238005224 in words is "ten billion, two hundred thirty-eight million, five thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 163 326 367 489 652 734 978 1101 1304 1467 1468 1956 2202 2377 2934 2936 3303 3912 4404 4754 5868 6606 7131 8808 9508 11736 13212 14262 19016 21393 26424 28524 42786 57048 59821 85572 119642 171144 179463 239284 358926 387451 478568 538389 717852 774902 872359 1076778 1162353 1435704 1549804 1744718 2153556 2324706 2617077 3099608 3487059 3489436 4307112 4649412 5234154 6974118 6978872 7851231 9298824 10468308 13948236 15702462 20936616 27896472 31404924 62809848 142194517 284389034 426583551 568778068 853167102 1137556136 1279750653 1706334204 2559501306 3412668408 5119002612 10238005224