Search a number
-
+
33213023032 = 2378364311113
BaseRepresentation
bin11110111011101001…
…101000001100111000
310011201200011101101011
4132323221220030320
51021010013214112
623131410203304
72254023015640
oct367351501470
9104650141334
1033213023032
11130a3981872
12652ab83534
133193c43467
141871063520
15ce5c4aaa7
hex7bba68338

33213023032 has 64 divisors (see below), whose sum is σ = 72146753280. Its totient is φ = 14039523072.

The previous prime is 33213023021. The next prime is 33213023057. The reversal of 33213023032 is 23032031233.

It is a super-2 number, since 2×332130230322 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33213022994 and 33213023012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2983108 + ... + 2994220.

It is an arithmetic number, because the mean of its divisors is an integer number (1127293020).

Almost surely, 233213023032 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 33213023032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36073376640).

33213023032 is an abundant number, since it is smaller than the sum of its proper divisors (38933730248).

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

33213023032 is a wasteful number, since it uses less digits than its factorization.

33213023032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11852 (or 11848 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 22.

Adding to 33213023032 its reverse (23032031233), we get a palindrome (56245054265).

The spelling of 33213023032 in words is "thirty-three billion, two hundred thirteen million, twenty-three thousand, thirty-two".

Divisors: 1 2 4 7 8 14 28 56 83 166 332 581 643 664 1162 1286 2324 2572 4501 4648 5144 9002 11113 18004 22226 36008 44452 53369 77791 88904 106738 155582 213476 311164 373583 426952 622328 747166 922379 1494332 1844758 2988664 3689516 6456653 7145659 7379032 12913306 14291318 25826612 28582636 50019613 51653224 57165272 100039226 200078452 400156904 593089697 1186179394 2372358788 4151627879 4744717576 8303255758 16606511516 33213023032