Search a number
-
+
33320122200 = 233352101199307
BaseRepresentation
bin11111000010000010…
…001011011101011000
310012000010200120211000
4133002002023131120
51021214422402300
623150153505000
72256463236261
oct370202133530
9105003616730
1033320122200
1113149381a82
12655aa12160
1331b01a1351
141881381968
15d00353c00
hex7c208b758

33320122200 has 384 divisors, whose sum is σ = 116867520000. Its totient is φ = 8724672000.

The previous prime is 33320122163. The next prime is 33320122201. The reversal of 33320122200 is 222102333.

It is a happy number.

It is a super-2 number, since 2×333201222002 (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33320122201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 108534447 + ... + 108534753.

It is an arithmetic number, because the mean of its divisors is an integer number (304342500).

Almost surely, 233320122200 is an apocalyptic number.

33320122200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33320122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58433760000).

33320122200 is an abundant number, since it is smaller than the sum of its proper divisors (83547397800).

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

33320122200 is a wasteful number, since it uses less digits than its factorization.

33320122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 617 counting only the distinct ones).

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

Adding to 33320122200 its reverse (222102333), we get a palindrome (33542224533).

The spelling of 33320122200 in words is "thirty-three billion, three hundred twenty million, one hundred twenty-two thousand, two hundred".