Search a number
-
+
33442131222 = 23222317894657
BaseRepresentation
bin11111001001010011…
…100110110100010110
310012022122021021201200
4133021103212310112
51021442141144342
623210232533330
72262504265563
oct371123466426
9105278237650
1033442131222
1113201236185
126593851246
1331cc54c836
14189366186a
15d0ae0494c
hex7c94e6d16

33442131222 has 48 divisors (see below), whose sum is σ = 72839195520. Its totient is φ = 11088804096.

The previous prime is 33442131193. The next prime is 33442131227. The reversal of 33442131222 is 22213124433.

33442131222 is a `hidden beast` number, since 3 + 344 + 2 + 1 + 312 + 2 + 2 = 666.

It is a super-2 number, since 2×334421312222 (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 (33442131227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7178718 + ... + 7183374.

It is an arithmetic number, because the mean of its divisors is an integer number (1517483240).

Almost surely, 233442131222 is an apocalyptic number.

33442131222 is an abundant number, since it is smaller than the sum of its proper divisors (39397064298).

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

33442131222 is a wasteful number, since it uses less digits than its factorization.

33442131222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6677 (or 6674 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

Adding to 33442131222 its reverse (22213124433), we get a palindrome (55655255655).

The spelling of 33442131222 in words is "thirty-three billion, four hundred forty-two million, one hundred thirty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 223 446 669 1338 1789 2007 3578 4014 4657 5367 9314 10734 13971 16101 27942 32202 41913 83826 398947 797894 1038511 1196841 2077022 2393682 3115533 3590523 6231066 7181046 8331373 9346599 16662746 18693198 24994119 49988238 74982357 149964714 1857896179 3715792358 5573688537 11147377074 16721065611 33442131222