Search a number
-
+
33233221332 = 22322387338669
BaseRepresentation
bin11110111100110110…
…101011011011010100
310011210002011120020100
4132330312223123110
51021030201040312
623133411134100
72254356502053
oct367466533324
9104702146210
1033233221332
1113104318083
1265358a4330
133198195c0c
141873a0039a
15ce78da5dc
hex7bcdab6d4

33233221332 has 36 divisors (see below), whose sum is σ = 84011889780. Its totient is φ = 11076989952.

The previous prime is 33233221319. The next prime is 33233221361. The reversal of 33233221332 is 23312233233.

33233221332 is a `hidden beast` number, since 3 + 3 + 2 + 3 + 322 + 1 + 332 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4372647876 + 28860573456 = 66126^2 + 169884^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-4 number, since 4×332332213324 (a number of 43 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 33233221296 and 33233221305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 840094 + ... + 878762.

It is an arithmetic number, because the mean of its divisors is an integer number (2333663605).

Almost surely, 233233221332 is an apocalyptic number.

It is an amenable number.

33233221332 is an abundant number, since it is smaller than the sum of its proper divisors (50778668448).

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

33233221332 is a wasteful number, since it uses less digits than its factorization.

33233221332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62552 (or 62547 counting only the distinct ones).

The product of its digits is 11664, while the sum is 27.

Adding to 33233221332 its reverse (23312233233), we get a palindrome (56545454565).

The spelling of 33233221332 in words is "thirty-three billion, two hundred thirty-three million, two hundred twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 23873 38669 47746 71619 77338 95492 116007 143238 154676 214857 232014 286476 348021 429714 464028 696042 859428 1392084 923145037 1846290074 2769435111 3692580148 5538870222 8308305333 11077740444 16616610666 33233221332