Search a number
-
+
22153540431 = 31121731811949
BaseRepresentation
bin10100101000011101…
…000011001101001111
32010011220210110100110
4110220131003031033
5330332301243211
614102135131103
71412661662301
oct245035031517
963156713313
1022153540431
119439106900
124363213a93
1321208c0509
14110230b971
15899d5bea6
hex52874334f

22153540431 has 48 divisors (see below), whose sum is σ = 32852383200. Its totient is φ = 13268217600.

The previous prime is 22153540417. The next prime is 22153540441. The reversal of 22153540431 is 13404535122.

It is not a de Polignac number, because 22153540431 - 25 = 22153540399 is a prime.

It is a super-2 number, since 2×221535404312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22153540411) 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, 11365645 + ... + 11367593.

It is an arithmetic number, because the mean of its divisors is an integer number (684424650).

Almost surely, 222153540431 is an apocalyptic number.

22153540431 is a deficient number, since it is larger than the sum of its proper divisors (10698842769).

22153540431 is a wasteful number, since it uses less digits than its factorization.

22153540431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2328 (or 2317 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 22153540431 in words is "twenty-two billion, one hundred fifty-three million, five hundred forty thousand, four hundred thirty-one".

Divisors: 1 3 11 33 121 173 181 363 519 543 1903 1949 1991 5709 5847 5973 20933 21439 21901 31313 62799 64317 65703 93939 235829 337177 344443 352769 707487 1011531 1033329 1058307 3708947 3788873 3880459 11126841 11366619 11641377 40798417 42685049 61029037 122395251 128055147 183087111 671319407 2013958221 7384513477 22153540431