Search a number
-
+
2002664532 = 22311178811013
BaseRepresentation
bin111011101011110…
…0011110001010100
312011120100220021110
41313113203301110
513100140231112
6530420015020
7100425240051
oct16727436124
95146326243
102002664532
119384a7560
1247a831470
1325bb9b0cb
1414dd90028
15bac3c13c
hex775e3c54

2002664532 has 96 divisors (see below), whose sum is σ = 5409016704. Its totient is φ = 569958400.

The previous prime is 2002664527. The next prime is 2002664539. The reversal of 2002664532 is 2354662002.

It is a self number, because there is not a number n which added to its sum of digits gives 2002664532.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002664539) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1976458 + ... + 1977470.

It is an arithmetic number, because the mean of its divisors is an integer number (56343924).

Almost surely, 22002664532 is an apocalyptic number.

2002664532 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002664532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2704508352).

2002664532 is an abundant number, since it is smaller than the sum of its proper divisors (3406352172).

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

2002664532 is a wasteful number, since it uses less digits than its factorization.

2002664532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1929 (or 1927 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 2002664532 is about 44751.1400078255. The cubic root of 2002664532 is about 1260.4803182628.

The spelling of 2002664532 in words is "two billion, two million, six hundred sixty-four thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 374 561 748 881 1013 1122 1762 2026 2244 2643 3039 3524 4052 5286 6078 9691 10572 11143 12156 14977 17221 19382 22286 29073 29954 33429 34442 38764 44572 44931 51663 58146 59908 66858 68884 89862 103326 116292 133716 164747 179724 189431 206652 329494 378862 494241 568293 658988 757724 892453 988482 1136586 1784906 1976964 2273172 2677359 3569812 5354718 9816983 10709436 15171701 19633966 29450949 30343402 39267932 45515103 58901898 60686804 91030206 117803796 166888711 182060412 333777422 500666133 667554844 1001332266 2002664532