Search a number
-
+
33214111000 = 235372672151
BaseRepresentation
bin11110111011101101…
…110001110100011000
310011201202012122210021
4132323231301310120
51021010303023000
623131445400224
72254035166600
oct367355616430
9104652178707
1033214111000
11130a4555214
12652b409074
133194234725
141871267c00
15ce5db311a
hex7bbb71d18

33214111000 has 288 divisors, whose sum is σ = 92387524320. Its totient is φ = 11143440000.

The previous prime is 33214110983. The next prime is 33214111001. The reversal of 33214111000 is 11141233.

It is a super-2 number, since 2×332141110002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33214111001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 219960925 + ... + 219961075.

It is an arithmetic number, because the mean of its divisors is an integer number (320790015).

Almost surely, 233214111000 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 33214111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46193762160).

33214111000 is an abundant number, since it is smaller than the sum of its proper divisors (59173413320).

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

33214111000 is a wasteful number, since it uses less digits than its factorization.

33214111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 33214111000 its reverse (11141233), we get a palindrome (33225252233).

The spelling of 33214111000 in words is "thirty-three billion, two hundred fourteen million, one hundred eleven thousand".