Search a number
-
+
2232044153353 = 72233195501809
BaseRepresentation
bin100000011110110000001…
…100101110101000001001
321220101021222212012002001
4200132300030232220021
5243032211300401403
64425215324311001
7320155064156500
oct40366014565011
97811258765061
102232044153353
1179067180a753
123007030a2461
131326335b1b21
147a062689837
153d0d9760c1d
hex207b032ea09

2232044153353 has 12 divisors (see below), whose sum is σ = 2607603141780. Its totient is φ = 1904969617152.

The previous prime is 2232044153321. The next prime is 2232044153377. The reversal of 2232044153353 is 3533514402322.

It can be written as a sum of positive squares in 2 ways, for example, as 775998904464 + 1456045248889 = 880908^2 + 1206667^2 .

It is not a de Polignac number, because 2232044153353 - 25 = 2232044153321 is a prime.

It is a super-3 number, since 3×22320441533533 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (2232044153303) 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 11 ways as a sum of consecutive naturals, for example, 97739488 + ... + 97762321.

It is an arithmetic number, because the mean of its divisors is an integer number (217300261815).

Almost surely, 22232044153353 is an apocalyptic number.

It is an amenable number.

2232044153353 is a deficient number, since it is larger than the sum of its proper divisors (375558988427).

2232044153353 is a wasteful number, since it uses less digits than its factorization.

2232044153353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195502056 (or 195502049 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 37.

Adding to 2232044153353 its reverse (3533514402322), we get a palindrome (5765558555675).

The spelling of 2232044153353 in words is "two trillion, two hundred thirty-two billion, forty-four million, one hundred fifty-three thousand, three hundred fifty-three".

Divisors: 1 7 49 233 1631 11417 195501809 1368512663 9579588641 45551921497 318863450479 2232044153353