Search a number
-
+
2002261506 = 237157303649
BaseRepresentation
bin111011101011000…
…0001011000000010
312011112121102102120
41313112001120002
513100034332011
6530403225110
7100421641050
oct16726013002
95145542376
102002261506
11938251783
1247a678196
1325ba8982b
1414dcc71d0
15babaca06
hex77581602

2002261506 has 32 divisors (see below), whose sum is σ = 4605763200. Its totient is φ = 568429056.

The previous prime is 2002261489. The next prime is 2002261517. The reversal of 2002261506 is 6051622002.

It is a super-2 number, since 2×20022615062 = 8018102276818776072, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 145231 + ... + 158418.

It is an arithmetic number, because the mean of its divisors is an integer number (143930100).

Almost surely, 22002261506 is an apocalyptic number.

2002261506 is an abundant number, since it is smaller than the sum of its proper divisors (2603501694).

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

2002261506 is a wasteful number, since it uses less digits than its factorization.

2002261506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303818.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2002261506 is about 44746.6368121672. The cubic root of 2002261506 is about 1260.3957575164.

Adding to 2002261506 its reverse (6051622002), we get a palindrome (8053883508).

The spelling of 2002261506 in words is "two billion, two million, two hundred sixty-one thousand, five hundred six".

Divisors: 1 2 3 6 7 14 21 42 157 314 471 942 1099 2198 3297 6594 303649 607298 910947 1821894 2125543 4251086 6376629 12753258 47672893 95345786 143018679 286037358 333710251 667420502 1001130753 2002261506