Search a number
-
+
2033001012 = 2237891931409
BaseRepresentation
bin111100100101101…
…0010001000110100
312020200110011002210
41321023102020310
513130422013022
6533422133420
7101244136440
oct17113221064
95220404083
102033001012
11953637829
12488a21270
132652602a3
14154009820
15bd730a0c
hex792d2234

2033001012 has 96 divisors (see below), whose sum is σ = 5514566400. Its totient is φ = 570949632.

The previous prime is 2033000939. The next prime is 2033001059. The reversal of 2033001012 is 2101003302.

It is a happy number.

It is a super-2 number, since 2×20330010122 = 8266186229586048288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1442164 + ... + 1443572.

It is an arithmetic number, because the mean of its divisors is an integer number (57443400).

Almost surely, 22033001012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2033001012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2757283200).

2033001012 is an abundant number, since it is smaller than the sum of its proper divisors (3481565388).

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

2033001012 is a wasteful number, since it uses less digits than its factorization.

2033001012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1705 (or 1703 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2033001012 is about 45088.8124926794. The cubic root of 2033001012 is about 1266.8130588268.

Adding to 2033001012 its reverse (2101003302), we get a palindrome (4134004314).

The spelling of 2033001012 in words is "two billion, thirty-three million, one thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 89 178 193 267 356 386 534 579 623 772 1068 1158 1246 1351 1409 1869 2316 2492 2702 2818 3738 4053 4227 5404 5636 7476 8106 8454 9863 16212 16908 17177 19726 29589 34354 39452 51531 59178 68708 103062 118356 120239 125401 206124 240478 250802 271937 360717 376203 480956 501604 543874 721434 752406 815811 877807 1087748 1442868 1504812 1631622 1755614 1903559 2633421 3263244 3511228 3807118 5266842 5710677 7614236 10533684 11421354 22842708 24202393 48404786 72607179 96809572 145214358 169416751 290428716 338833502 508250253 677667004 1016500506 2033001012