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2002332930 = 2351317614951
BaseRepresentation
bin111011101011001…
…0010110100000010
312011112202001101220
41313112102310002
513100044123210
6530404535510
7100422356223
oct16726226402
95145661356
102002332930
119382a0404
1247a6b1596
1325bab31b0
1414dd0524a
15babc3c70
hex77592d02

2002332930 has 128 divisors (see below), whose sum is σ = 5570643456. Its totient is φ = 456192000.

The previous prime is 2002332929. The next prime is 2002332931. The reversal of 2002332930 is 392332002.

It is an interprime number because it is at equal distance from previous prime (2002332929) and next prime (2002332931).

It is a self number, because there is not a number n which added to its sum of digits gives 2002332930.

It is not an unprimeable number, because it can be changed into a prime (2002332931) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 401955 + ... + 406905.

It is an arithmetic number, because the mean of its divisors is an integer number (43520652).

Almost surely, 22002332930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002332930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2785321728).

2002332930 is an abundant number, since it is smaller than the sum of its proper divisors (3568310526).

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

2002332930 is a wasteful number, since it uses less digits than its factorization.

2002332930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5052.

The product of its (nonzero) digits is 1944, while the sum is 24.

The square root of 2002332930 is about 44747.4348985503. The cubic root of 2002332930 is about 1260.4107441430.

Adding to 2002332930 its reverse (392332002), we get a palindrome (2394664932).

The spelling of 2002332930 in words is "two billion, two million, three hundred thirty-two thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 17 26 30 34 39 51 61 65 78 85 102 122 130 170 183 195 221 255 305 366 390 442 510 610 663 793 915 1037 1105 1326 1586 1830 2074 2210 2379 3111 3315 3965 4758 4951 5185 6222 6630 7930 9902 10370 11895 13481 14853 15555 23790 24755 26962 29706 31110 40443 49510 64363 67405 74265 80886 84167 128726 134810 148530 168334 193089 202215 252501 302011 321815 386178 404430 420835 505002 604022 643630 841670 906033 965445 1094171 1262505 1510055 1812066 1930890 2188342 2525010 3020110 3282513 3926143 4530165 5134187 5470855 6565026 7852286 9060330 10268374 10941710 11778429 15402561 16412565 19630715 23556858 25670935 30805122 32825130 39261430 51341870 58892145 66744431 77012805 117784290 133488862 154025610 200233293 333722155 400466586 667444310 1001166465 2002332930