Search a number
-
+
662240224206 = 2321137831089107
BaseRepresentation
bin10011010001100001001…
…01111110001111001110
32100022100122211001010100
421220300211332033032
541322231444133311
61224121242151530
765562634012431
oct11506045761716
92308318731110
10662240224206
11235944384220
12a841aab25a6
134a5ab560942
14240a4485818
151235e0d5a56
hex9a3097e3ce

662240224206 has 96 divisors (see below), whose sum is σ = 1626970520448. Its totient is φ = 192902454720.

The previous prime is 662240224201. The next prime is 662240224213. The reversal of 662240224206 is 602422042266.

662240224206 is a `hidden beast` number, since 6 + 6 + 2 + 2 + 402 + 242 + 0 + 6 = 666.

It is a super-2 number, since 2×6622402242062 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (662240224201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63505 + ... + 1152611.

It is an arithmetic number, because the mean of its divisors is an integer number (16947609588).

Almost surely, 2662240224206 is an apocalyptic number.

662240224206 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 662240224206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813485260224).

662240224206 is an abundant number, since it is smaller than the sum of its proper divisors (964730296242).

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

662240224206 is a wasteful number, since it uses less digits than its factorization.

662240224206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089246 (or 1089243 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

It can be divided in two parts, 662240 and 224206, that added together give a triangular number (886446 = T1331).

The spelling of 662240224206 in words is "six hundred sixty-two billion, two hundred forty million, two hundred twenty-four thousand, two hundred six".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 83 99 111 166 198 222 249 333 407 498 666 747 814 913 1221 1494 1826 2442 2739 3071 3663 5478 6142 7326 8217 9213 16434 18426 27639 33781 55278 67562 101343 202686 304029 608058 1089107 2178214 3267321 6534642 9801963 11980177 19603926 23960354 35940531 40296959 71881062 80593918 90395881 107821593 120890877 180791762 215643186 241781754 271187643 362672631 443266549 542375286 725345262 813562929 886533098 994354691 1329799647 1627125858 1988709382 2659599294 2983064073 3344647597 3989398941 5966128146 6689295194 7978797882 8949192219 10033942791 17898384438 20067885582 30101828373 36791123567 60203656746 73582247134 110373370701 220746741402 331120112103 662240224206