Search a number
-
+
33220103231214 = 23213913277419357
BaseRepresentation
bin1111000110110101010000…
…11100111101011011101110
311100121210220010000200021200
413203122220130331123232
513323234232411344324
6154353034342510330
76666034061264664
oct743325034753356
9140553803020250
1033220103231214
11a6486262560a9
1238863414353a6
13156c84716b3b3
1482bc0c23cc34
153c91e77eeec9
hex1e36a873d6ee

33220103231214 has 24 divisors (see below), whose sum is σ = 72494709694680. Its totient is φ = 10993703226768.

The previous prime is 33220103231213. The next prime is 33220103231243. The reversal of 33220103231214 is 41213230102233.

33220103231214 is a `hidden beast` number, since 3 + 322 + 0 + 1 + 0 + 323 + 1 + 2 + 14 = 666.

It is a super-2 number, since 2×332201032312142 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33220103231213) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6638707177 + ... + 6638712180.

It is an arithmetic number, because the mean of its divisors is an integer number (3020612903945).

Almost surely, 233220103231214 is an apocalyptic number.

33220103231214 is an abundant number, since it is smaller than the sum of its proper divisors (39274606463466).

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

33220103231214 is a wasteful number, since it uses less digits than its factorization.

33220103231214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13277419504 (or 13277419501 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 33220103231214 its reverse (41213230102233), we get a palindrome (74433333333447).

The spelling of 33220103231214 in words is "thirty-three trillion, two hundred twenty billion, one hundred three million, two hundred thirty-one thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 139 278 417 834 1251 2502 13277419357 26554838714 39832258071 79664516142 119496774213 238993548426 1845561290623 3691122581246 5536683871869 11073367743738 16610051615607 33220103231214