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5022240192 = 263310312819
BaseRepresentation
bin1001010110101100…
…10100110111000000
3110222000020020101000
410223112110313000
540241143141232
62150204012000
7235312223454
oct45326246700
913860206330
105022240192
112147a18432
12b81b31000
13620647878
14359010664
151e5d9b27c
hex12b594dc0

5022240192 has 112 divisors (see below), whose sum is σ = 14784019200. Its totient is φ = 1671863040.

The previous prime is 5022240143. The next prime is 5022240217. The reversal of 5022240192 is 2910422205.

It is a happy number.

It is a super-2 number, since 2×50222401922 = 50445793092280393728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1780159 + ... + 1782977.

Almost surely, 25022240192 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 5022240192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7392009600).

5022240192 is an abundant number, since it is smaller than the sum of its proper divisors (9761779008).

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

5022240192 is a wasteful number, since it uses less digits than its factorization.

5022240192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3871 (or 3855 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5022240192 is about 70867.7655355381. The cubic root of 5022240192 is about 1712.5075430573.

Adding to 5022240192 its reverse (2910422205), we get a palindrome (7932662397).

The spelling of 5022240192 in words is "five billion, twenty-two million, two hundred forty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1031 1728 2062 2819 3093 4124 5638 6186 8248 8457 9279 11276 12372 16496 16914 18558 22552 24744 25371 27837 32992 33828 37116 45104 49488 50742 55674 65984 67656 74232 76113 90208 98976 101484 111348 135312 148464 152226 180416 197952 202968 222696 270624 296928 304452 405936 445392 541248 593856 608904 811872 890784 1217808 1623744 1781568 2435616 2906389 4871232 5812778 8719167 11625556 17438334 23251112 26157501 34876668 46502224 52315002 69753336 78472503 93004448 104630004 139506672 156945006 186008896 209260008 279013344 313890012 418520016 558026688 627780024 837040032 1255560048 1674080064 2511120096 5022240192