Search a number
-
+
33222332000 = 255311132412
BaseRepresentation
bin11110111100001101…
…001000111001100000
310011202022200022212202
4132330031020321200
51021014404111000
623132341512332
72254165106534
oct367415107140
9104668608782
1033222332000
11130a915a830
1265321126a8
133195b52620
1418723a7bc4
15ce6988dd5
hex7bc348e60

33222332000 has 288 divisors, whose sum is σ = 96297338592. Its totient is φ = 11105280000.

The previous prime is 33222331997. The next prime is 33222332023. The reversal of 33222332000 is 23322233.

It is a super-2 number, since 2×332223320002 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137851880 + ... + 137852120.

It is an arithmetic number, because the mean of its divisors is an integer number (334365759).

Almost surely, 233222332000 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 33222332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48148669296).

33222332000 is an abundant number, since it is smaller than the sum of its proper divisors (63075006592).

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

33222332000 is a wasteful number, since it uses less digits than its factorization.

33222332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

Adding to 33222332000 its reverse (23322233), we get a palindrome (33245654233).

It can be divided in two parts, 3322233 and 2000, that added together give a palindrome (3324233).

The spelling of 33222332000 in words is "thirty-three billion, two hundred twenty-two million, three hundred thirty-two thousand".