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212364506700 = 223352194139659
BaseRepresentation
bin1100010111000111101…
…0010011011001001100
3202022011001021201001000
43011301322103121030
511434410303203300
6241320420220300
721225406344333
oct3056172233114
9668131251030
10212364506700
1182077256085
12351a853a690
1317044b48b28
14a3c82a4d1a
1557cdbe6c00
hex3171e9364c

212364506700 has 144 divisors (see below), whose sum is σ = 718644976000. Its totient is φ = 53649967680.

The previous prime is 212364506699. The next prime is 212364506707. The reversal of 212364506700 is 7605463212.

212364506700 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 645 + 0 + 6 + 7 + 0 + 0 = 666.

212364506700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (212364506707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2018530 + ... + 2121129.

Almost surely, 2212364506700 is an apocalyptic number.

212364506700 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212364506700 is an abundant number, since it is smaller than the sum of its proper divisors (506280469300).

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

212364506700 is a wasteful number, since it uses less digits than its factorization.

212364506700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4139701 (or 4139688 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Adding to 212364506700 its reverse (7605463212), we get a palindrome (219969969912).

The spelling of 212364506700 in words is "two hundred twelve billion, three hundred sixty-four million, five hundred six thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 25 27 30 36 38 45 50 54 57 60 75 76 90 95 100 108 114 135 150 171 180 190 225 228 270 285 300 342 380 450 475 513 540 570 675 684 855 900 950 1026 1140 1350 1425 1710 1900 2052 2565 2700 2850 3420 4275 5130 5700 8550 10260 12825 17100 25650 51300 4139659 8279318 12418977 16558636 20698295 24837954 37256931 41396590 49675908 62094885 74513862 78653521 82793180 103491475 111770793 124189770 149027724 157307042 186284655 206982950 223541586 235960563 248379540 310474425 314614084 372569310 393267605 413965900 447083172 471921126 558853965 620948850 707881689 745138620 786535210 931423275 943842252 1117707930 1179802815 1241897700 1415763378 1573070420 1862846550 1966338025 2123645067 2235415860 2359605630 2794269825 2831526756 3539408445 3725693100 3932676050 4247290134 4719211260 5588539650 5899014075 7078816890 7865352100 8494580268 10618225335 11177079300 11798028150 14157633780 17697042225 21236450670 23596056300 35394084450 42472901340 53091126675 70788168900 106182253350 212364506700