Search a number
-
+
211232214570220 = 225192341862768329
BaseRepresentation
bin110000000001110101010101…
…000111010101010011101100
31000200220121021012222010222121
4300001311111013111103230
5210141312033412221340
62025130423441122324
762331011123006014
oct6001652507252354
91020817235863877
10211232214570220
116133a096348908
121b8362753293a4
1390b315cb2a66c
143a2399d876c44
15196497be4094a
hexc01d551d54ec

211232214570220 has 192 divisors, whose sum is σ = 499184825932800. Its totient is φ = 74688429404160.

The previous prime is 211232214570199. The next prime is 211232214570229. The reversal of 211232214570220 is 22075412232112.

It is not an unprimeable number, because it can be changed into a prime (211232214570229) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3091365016 + ... + 3091433344.

It is an arithmetic number, because the mean of its divisors is an integer number (2599920968400).

Almost surely, 2211232214570220 is an apocalyptic number.

211232214570220 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 211232214570220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249592412966400).

211232214570220 is an abundant number, since it is smaller than the sum of its proper divisors (287952611362580).

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

211232214570220 is a wasteful number, since it uses less digits than its factorization.

211232214570220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77048 (or 77046 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The spelling of 211232214570220 in words is "two hundred eleven trillion, two hundred thirty-two billion, two hundred fourteen million, five hundred seventy thousand, two hundred twenty".