Search a number
-
+
33212196 = 2232922561
BaseRepresentation
bin111111010110…
…0011100100100
32022111100120100
41332230130210
532000242241
63143504100
7552204363
oct176543444
968440510
1033212196
11178248a6
12b158030
136b5b0b4
1445a77da
152db09b6
hex1fac724

33212196 has 18 divisors (see below), whose sum is σ = 83953142. Its totient is φ = 11070720.

The previous prime is 33212189. The next prime is 33212261. The reversal of 33212196 is 69121233.

It can be written as a sum of positive squares in only one way, i.e., 33177600 + 34596 = 5760^2 + 186^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×332121962 = 2206099926284832, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 461245 + ... + 461316.

Almost surely, 233212196 is an apocalyptic number.

33212196 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

33212196 is an abundant number, since it is smaller than the sum of its proper divisors (50740946).

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

33212196 is a wasteful number, since it uses less digits than its factorization.

33212196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922571 (or 922566 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 33212196 is about 5763.0023425295. The cubic root of 33212196 is about 321.4394656202.

Subtracting from 33212196 its sum of digits (27), we obtain a square (33212169 = 57632).

The spelling of 33212196 in words is "thirty-three million, two hundred twelve thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 922561 1845122 2767683 3690244 5535366 8303049 11070732 16606098 33212196