Search a number
-
+
33402230232 = 23372107265451
BaseRepresentation
bin11111000110111011…
…011001010111011000
310012012212012002212020
4133012323121113120
51021401432331412
623202245414440
72261511162300
oct370673312730
9105185162766
1033402230232
1113190762a58
12658240a420
1331c41bc097
14188c236600
15d0767218c
hex7c6ed95d8

33402230232 has 96 divisors (see below), whose sum is σ = 98047350720. Its totient is φ = 9454267200.

The previous prime is 33402230221. The next prime is 33402230287. The reversal of 33402230232 is 23203220433.

It is a happy number.

It is a super-2 number, since 2×334022302322 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6894 + ... + 258557.

It is an arithmetic number, because the mean of its divisors is an integer number (1021326570).

Almost surely, 233402230232 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 33402230232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49023675360).

33402230232 is an abundant number, since it is smaller than the sum of its proper divisors (64645120488).

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

33402230232 is a wasteful number, since it uses less digits than its factorization.

33402230232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265581 (or 265570 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

Adding to 33402230232 its reverse (23203220433), we get a palindrome (56605450665).

The spelling of 33402230232 in words is "thirty-three billion, four hundred two million, two hundred thirty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 107 147 168 196 214 294 321 392 428 588 642 749 856 1176 1284 1498 2247 2568 2996 4494 5243 5992 8988 10486 15729 17976 20972 31458 41944 62916 125832 265451 530902 796353 1061804 1592706 1858157 2123608 3185412 3716314 5574471 6370824 7432628 11148942 13007099 14865256 22297884 26014198 28403257 39021297 44595768 52028396 56806514 78042594 85209771 104056792 113613028 156085188 170419542 198822799 227226056 312170376 340839084 397645598 596468397 681678168 795291196 1192936794 1391759593 1590582392 2385873588 2783519186 4175278779 4771747176 5567038372 8350557558 11134076744 16701115116 33402230232