Search a number
-
+
212818980 = 2235111272539
BaseRepresentation
bin11001010111101…
…01110000100100
3112211110022202110
430223311300210
5413440201410
633041241020
75162634333
oct1453656044
9484408673
10212818980
11aa149060
125b333170
1335124cba
142039bd1a
1513a3c720
hexcaf5c24

212818980 has 96 divisors (see below), whose sum is σ = 655441920. Its totient is φ = 51166080.

The previous prime is 212818979. The next prime is 212819011. The reversal of 212818980 is 89818212.

212818980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82551 + ... + 85089.

It is an arithmetic number, because the mean of its divisors is an integer number (6827520).

Almost surely, 2212818980 is an apocalyptic number.

212818980 is a gapful number since it is divisible by the number (20) 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 212818980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327720960).

212818980 is an abundant number, since it is smaller than the sum of its proper divisors (442622940).

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

212818980 is a wasteful number, since it uses less digits than its factorization.

212818980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2689 (or 2687 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 39.

The square root of 212818980 is about 14588.3165581228. The cubic root of 212818980 is about 597.0400327804.

The spelling of 212818980 in words is "two hundred twelve million, eight hundred eighteen thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 127 132 165 220 254 330 381 508 635 660 762 1270 1397 1524 1905 2539 2540 2794 3810 4191 5078 5588 6985 7617 7620 8382 10156 12695 13970 15234 16764 20955 25390 27929 27940 30468 38085 41910 50780 55858 76170 83787 83820 111716 139645 152340 167574 279290 322453 335148 418935 558580 644906 837870 967359 1289812 1612265 1675740 1934718 3224530 3546983 3869436 4836795 6449060 7093966 9673590 10640949 14187932 17734915 19347180 21281898 35469830 42563796 53204745 70939660 106409490 212818980