Search a number
-
+
2245646106 = 235113711353
BaseRepresentation
bin1000010111011001…
…1101011100011010
312210111120122100000
42011312131130122
514044341133411
61010455553430
7106435451124
oct20566353432
95714518300
102245646106
11a52677180
1252808b876
1329a3240a2
14174360214
15d2236956
hex85d9d71a

2245646106 has 96 divisors (see below), whose sum is σ = 5653747008. Its totient is φ = 662048640.

The previous prime is 2245646099. The next prime is 2245646153. The reversal of 2245646106 is 6016465422.

2245646106 is a `hidden beast` number, since 2 + 2 + 4 + 5 + 646 + 1 + 0 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 192126 + ... + 203478.

It is an arithmetic number, because the mean of its divisors is an integer number (58893198).

Almost surely, 22245646106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2245646106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2826873504).

2245646106 is an abundant number, since it is smaller than the sum of its proper divisors (3408100902).

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

2245646106 is a wasteful number, since it uses less digits than its factorization.

2245646106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11418 (or 11406 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2245646106 is about 47388.2486065902. The cubic root of 2245646106 is about 1309.5249342804.

The spelling of 2245646106 in words is "two billion, two hundred forty-five million, six hundred forty-six thousand, one hundred six".

Divisors: 1 2 3 6 9 11 18 22 27 33 37 54 66 74 81 99 111 162 198 222 243 297 333 407 486 594 666 814 891 999 1221 1782 1998 2442 2673 2997 3663 5346 5994 7326 8991 10989 11353 17982 21978 22706 32967 34059 65934 68118 98901 102177 124883 197802 204354 249766 306531 374649 420061 613062 749298 840122 919593 1123947 1260183 1839186 2247894 2520366 2758779 3371841 3780549 4620671 5517558 6743682 7561098 9241342 10115523 11341647 13862013 20231046 22683294 27724026 30346569 34024941 41586039 60693138 68049882 83172078 102074823 124758117 204149646 249516234 374274351 748548702 1122823053 2245646106