Search a number
-
+
200286682002 = 232114347500519
BaseRepresentation
bin1011101010001000000…
…1000011101110010010
3201010222022201122021100
42322202001003232102
511240141342311002
6232002130405230
720320201464411
oct2724201035622
9633868648240
10200286682002
1177a39679680
1232997730816
1315b6b8360b4
1499a01c9478
15532370211c
hex2ea2043b92

200286682002 has 96 divisors (see below), whose sum is σ = 494721976320. Its totient is φ = 58020046560.

The previous prime is 200286681989. The next prime is 200286682051.

200286682002 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2002866820022 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149899 + ... + 650417.

It is an arithmetic number, because the mean of its divisors is an integer number (5153353920).

Almost surely, 2200286682002 is an apocalyptic number.

200286682002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 200286682002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247360988160).

200286682002 is an abundant number, since it is smaller than the sum of its proper divisors (294435294318).

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

200286682002 is a wasteful number, since it uses less digits than its factorization.

200286682002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500628 (or 500625 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

It can be divided in two parts, 200286 and 682002, that added together give a palindrome (882288).

The spelling of 200286682002 in words is "two hundred billion, two hundred eighty-six million, six hundred eighty-two thousand, two".

Divisors: 1 2 3 6 9 11 18 22 33 43 47 66 86 94 99 129 141 198 258 282 387 423 473 517 774 846 946 1034 1419 1551 2021 2838 3102 4042 4257 4653 6063 8514 9306 12126 18189 22231 36378 44462 66693 133386 200079 400158 500519 1001038 1501557 3003114 4504671 5505709 9009342 11011418 16517127 21522317 23524393 33034254 43044634 47048786 49551381 64566951 70573179 99102762 129133902 141146358 193700853 211719537 236745487 258768323 387401706 423439074 473490974 517536646 710236461 776304969 1011548899 1420472922 1552609938 2023097798 2130709383 2328914907 3034646697 4261418766 4657829814 6069293394 9103940091 11127037889 18207880182 22254075778 33381113667 66762227334 100143341001 200286682002