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10224300996 = 22327213445853
BaseRepresentation
bin10011000010110101…
…00111001111000100
3222101112211022020200
421201122213033010
5131414410112441
64410314130500
7511240060500
oct114132471704
928345738220
1010224300996
114377395738
121b94120a30
13c6c302760
146cdc6d300
153ec9177b6
hex2616a73c4

10224300996 has 108 divisors (see below), whose sum is σ = 32377025772. Its totient is φ = 2696512896.

The previous prime is 10224300971. The next prime is 10224300997. The reversal of 10224300996 is 69900342201.

It can be written as a sum of positive squares in 2 ways, for example, as 4075545600 + 6148755396 = 63840^2 + 78414^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10224300996.

It is not an unprimeable number, because it can be changed into a prime (10224300997) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 199995 + ... + 245858.

Almost surely, 210224300996 is an apocalyptic number.

It is an amenable number.

10224300996 is an abundant number, since it is smaller than the sum of its proper divisors (22152724776).

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

10224300996 is a wasteful number, since it uses less digits than its factorization.

10224300996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445890 (or 445878 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 10224300996 in words is "ten billion, two hundred twenty-four million, three hundred thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 49 52 63 78 84 91 98 117 126 147 156 182 196 234 252 273 294 364 441 468 546 588 637 819 882 1092 1274 1638 1764 1911 2548 3276 3822 5733 7644 11466 22932 445853 891706 1337559 1783412 2675118 3120971 4012677 5350236 5796089 6241942 8025354 9362913 11592178 12483884 16050708 17388267 18725826 21846797 23184356 28088739 34776534 37451652 40572623 43693594 52164801 56177478 65540391 69553068 81145246 87387188 104329602 112354956 121717869 131080782 162290492 196621173 208659204 243435738 262161564 284008361 365153607 393242346 486871476 568016722 730307214 786484692 852025083 1136033444 1460614428 1704050166 2556075249 3408100332 5112150498 10224300996