Search a number
-
+
2162304606 = 2371121792377
BaseRepresentation
bin1000000011100010…
…0010011001011110
312120200202110021210
42000320202121132
513412022221411
6554321405250
7104404200030
oct20070423136
95520673253
102162304606
11a0a623500
12504199826
13285c93aa7
14167267c50
15c9c72ca6
hex80e2265e

2162304606 has 96 divisors (see below), whose sum is σ = 5465214720. Its totient is φ = 558264960.

The previous prime is 2162304587. The next prime is 2162304611. The reversal of 2162304606 is 6064032612.

It is a super-2 number, since 2×21623046062 = 9351122418257630472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 908490 + ... + 910866.

It is an arithmetic number, because the mean of its divisors is an integer number (56929320).

Almost surely, 22162304606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2162304606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2732607360).

2162304606 is an abundant number, since it is smaller than the sum of its proper divisors (3302910114).

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

2162304606 is a wasteful number, since it uses less digits than its factorization.

2162304606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2590 (or 2579 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 2162304606 is about 46500.5871575833. The cubic root of 2162304606 is about 1293.1203842337.

The spelling of 2162304606 in words is "two billion, one hundred sixty-two million, three hundred four thousand, six hundred six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 121 154 179 231 242 358 363 462 537 726 847 1074 1253 1694 1969 2377 2506 2541 3759 3938 4754 5082 5907 7131 7518 11814 13783 14262 16639 21659 26147 27566 33278 41349 43318 49917 52294 64977 78441 82698 99834 129954 151613 156882 183029 287617 303226 366058 425483 454839 549087 575234 850966 862851 909678 1098174 1276449 1725702 2013319 2552898 2978381 4026638 4680313 5956762 6039957 8935143 9360626 12079914 14040939 17870286 28081878 32762191 51483443 65524382 98286573 102966886 154450329 196573146 308900658 360384101 720768202 1081152303 2162304606