Search a number
-
+
22554114132 = 223111710619473
BaseRepresentation
bin10101000000010101…
…000111100001010100
32011012211112201011110
4111000111013201110
5332142323123012
614210004535020
71425624543534
oct250025074124
964184481143
1022554114132
119624233850
1244553b1470
1321858a2c84
14113d5c14c4
158c00d573c
hex540547854

22554114132 has 96 divisors (see below), whose sum is σ = 60851274624. Its totient is φ = 6425804800.

The previous prime is 22554114131. The next prime is 22554114229. The reversal of 22554114132 is 23141145522.

It is a super-2 number, since 2×225541141322 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22554114132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22554114131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2376148 + ... + 2385620.

It is an arithmetic number, because the mean of its divisors is an integer number (633867444).

Almost surely, 222554114132 is an apocalyptic number.

22554114132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22554114132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30425637312).

22554114132 is an abundant number, since it is smaller than the sum of its proper divisors (38297160492).

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

22554114132 is a wasteful number, since it uses less digits than its factorization.

22554114132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10569 (or 10567 counting only the distinct ones).

The product of its digits is 9600, while the sum is 30.

Adding to 22554114132 its reverse (23141145522), we get a palindrome (45695259654).

The spelling of 22554114132 in words is "twenty-two billion, five hundred fifty-four million, one hundred fourteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 374 561 748 1061 1122 2122 2244 3183 4244 6366 9473 11671 12732 18037 18946 23342 28419 35013 36074 37892 46684 54111 56838 70026 72148 104203 108222 113676 140052 161041 198407 208406 216444 312609 322082 396814 416812 483123 595221 625218 644164 793628 966246 1190442 1250436 1771451 1932492 2380884 3542902 5314353 7085804 10050853 10628706 20101706 21257412 30152559 40203412 60305118 110559383 120610236 170864501 221118766 331678149 341729002 442237532 512593503 663356298 683458004 1025187006 1326712596 1879509511 2050374012 3759019022 5638528533 7518038044 11277057066 22554114132