Search a number
-
+
33212000232 = 2332676884743
BaseRepresentation
bin11110111011100101…
…101110011111101000
310011201121020102100200
4132323211232133220
51021004233001412
623131332232200
72254011226005
oct367345563750
9104647212320
1033212000232
11130a3343384
12652a76b660
133193975a58
141870c788ac
15ce5ae79dc
hex7bb96e7e8

33212000232 has 48 divisors (see below), whose sum is σ = 91291705440. Its totient is φ = 10905431328.

The previous prime is 33212000219. The next prime is 33212000233. The reversal of 33212000232 is 23200021233.

It is a happy number.

It is a super-2 number, since 2×332120002322 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (33212000233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3437548 + ... + 3447195.

It is an arithmetic number, because the mean of its divisors is an integer number (1901910530).

Almost surely, 233212000232 is an apocalyptic number.

It is an amenable number.

33212000232 is an abundant number, since it is smaller than the sum of its proper divisors (58079705208).

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

33212000232 is a wasteful number, since it uses less digits than its factorization.

33212000232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6884822 (or 6884815 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 33212000232 its reverse (23200021233), we get a palindrome (56412021465).

The spelling of 33212000232 in words is "thirty-three billion, two hundred twelve million, two hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 18 24 36 67 72 134 201 268 402 536 603 804 1206 1608 2412 4824 6884743 13769486 20654229 27538972 41308458 55077944 61962687 82616916 123925374 165233832 247850748 461277781 495701496 922555562 1383833343 1845111124 2767666686 3690222248 4151500029 5535333372 8303000058 11070666744 16606000116 33212000232