Search a number
-
+
33222541352 = 237211131931193
BaseRepresentation
bin11110111100001101…
…111100000000101000
310011202100001222001112
4132330031330000220
51021014432310402
623132350205452
72254166641100
oct367415740050
9104670058045
1033222541352
11130a9293050
1265321b3888
133195bc69c0
141872420200
15ce69cae52
hex7bc37c028

33222541352 has 192 divisors, whose sum is σ = 89614123200. Its totient is φ = 11318952960.

The previous prime is 33222541349. The next prime is 33222541357. The reversal of 33222541352 is 25314522233.

It is a super-2 number, since 2×332225413522 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33222541357) by changing a digit.

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, 1049468 + ... + 1080660.

It is an arithmetic number, because the mean of its divisors is an integer number (466740225).

Almost surely, 233222541352 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 33222541352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44807061600).

33222541352 is an abundant number, since it is smaller than the sum of its proper divisors (56391581848).

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

33222541352 is a wasteful number, since it uses less digits than its factorization.

33222541352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31256 (or 31245 counting only the distinct ones).

The product of its digits is 43200, while the sum is 32.

The spelling of 33222541352 in words is "thirty-three billion, two hundred twenty-two million, five hundred forty-one thousand, three hundred fifty-two".