Search a number
-
+
213654424500 = 223253114316251
BaseRepresentation
bin1100011011111011001…
…0111100101110110100
3202102110221111022121100
43012332302330232310
512000031013041000
6242052415450100
721302361433536
oct3067662745664
9672427438540
10213654424500
1182679397450
12354a8526930
13171bc1639ba
14a4ab71d856
155857094a00
hex31becbcbb4

213654424500 has 144 divisors (see below), whose sum is σ = 735282160704. Its totient is φ = 51795000000.

The previous prime is 213654424439. The next prime is 213654424517. The reversal of 213654424500 is 5424456312.

213654424500 is a `hidden beast` number, since 2 + 136 + 54 + 424 + 50 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2108626 + ... + 2207625.

It is an arithmetic number, because the mean of its divisors is an integer number (5106126116).

Almost surely, 2213654424500 is an apocalyptic number.

213654424500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213654424500 is an abundant number, since it is smaller than the sum of its proper divisors (521627736204).

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

213654424500 is a wasteful number, since it uses less digits than its factorization.

213654424500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4316287 (or 4316272 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 213654424500 in words is "two hundred thirteen billion, six hundred fifty-four million, four hundred twenty-four thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 33 36 44 45 50 55 60 66 75 90 99 100 110 125 132 150 165 180 198 220 225 250 275 300 330 375 396 450 495 500 550 660 750 825 900 990 1100 1125 1375 1500 1650 1980 2250 2475 2750 3300 4125 4500 4950 5500 8250 9900 12375 16500 24750 49500 4316251 8632502 12948753 17265004 21581255 25897506 38846259 43162510 47478761 51795012 64743765 77692518 86325020 94957522 107906275 129487530 142436283 155385036 189915044 194231295 215812550 237393805 258975060 284872566 323718825 388462590 427308849 431625100 474787610 539531375 569745132 647437650 712181415 776925180 854617698 949575220 971156475 1079062750 1186969025 1294875300 1424362830 1618594125 1709235396 1942312950 2136544245 2158125500 2373938050 2848725660 3237188250 3560907075 3884625900 4273088490 4747876100 4855782375 5934845125 6474376500 7121814150 8546176980 9711564750 10682721225 11869690250 14243628300 17804535375 19423129500 21365442450 23739380500 35609070750 42730884900 53413606125 71218141500 106827212250 213654424500