Search a number
-
+
22130144550 = 23252192719551
BaseRepresentation
bin10100100111000011…
…110011010100100110
32010010021202211020100
4110213003303110212
5330310304111200
614055541444530
71412256060603
oct244703632446
963107684210
1022130144550
119426987168
124357410746
132118abb4b7
1410dd17b6aa
15897c89d00
hex5270f3526

22130144550 has 144 divisors (see below), whose sum is σ = 62823121920. Its totient is φ = 5569560000.

The previous prime is 22130144549. The next prime is 22130144563. The reversal of 22130144550 is 5544103122.

22130144550 is a `hidden beast` number, since 2 + 213 + 0 + 1 + 445 + 5 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 2312275 + ... + 2321825.

It is an arithmetic number, because the mean of its divisors is an integer number (436271680).

Almost surely, 222130144550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22130144550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31411560960).

22130144550 is an abundant number, since it is smaller than the sum of its proper divisors (40692977370).

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

22130144550 is a wasteful number, since it uses less digits than its factorization.

22130144550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9859 (or 9851 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 22130144550 its reverse (5544103122), we get a palindrome (27674247672).

The spelling of 22130144550 in words is "twenty-two billion, one hundred thirty million, one hundred forty-four thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 30 38 45 50 57 75 90 95 114 150 171 190 225 271 285 342 450 475 542 570 813 855 950 1355 1425 1626 1710 2439 2710 2850 4065 4275 4878 5149 6775 8130 8550 9551 10298 12195 13550 15447 19102 20325 24390 25745 28653 30894 40650 46341 47755 51490 57306 60975 77235 85959 92682 95510 121950 128725 143265 154470 171918 181469 231705 238775 257450 286530 362938 386175 429795 463410 477550 544407 716325 772350 859590 907345 1088814 1158525 1432650 1633221 1814690 2148975 2317050 2588321 2722035 3266442 4297950 4536725 5176642 5444070 7764963 8166105 9073450 12941605 13610175 15529926 16332210 23294889 25883210 27220350 38824815 40830525 46589778 49178099 64708025 77649630 81661050 98356198 116474445 129416050 147534297 194124075 232948890 245890495 295068594 388248150 442602891 491780990 582372225 737671485 885205782 1164744450 1229452475 1475342970 2213014455 2458904950 3688357425 4426028910 7376714850 11065072275 22130144550