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220201021210194 = 232101137884107109
BaseRepresentation
bin110010000100010110001011…
…101001011111111001010010
31001212200000022202222002202100
4302010112023221133321102
5212330233142412211234
62100154541433501230
764244666403413553
oct6204261351377122
91055600282862670
10220201021210194
1164187801931952
1220844524571816
1395b3b3731716b
143c53b0183232a
151a6ce01d6a399
hexc8458ba5fe52

220201021210194 has 48 divisors (see below), whose sum is σ = 485342975534040. Its totient is φ = 72143140012800.

The previous prime is 220201021210153. The next prime is 220201021210243. The reversal of 220201021210194 is 491012120102022.

220201021210194 is a `hidden beast` number, since 220 + 20 + 1 + 0 + 21 + 210 + 194 = 666.

220201021210194 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 211196898738225 + 9004122471969 = 14532615^2 + 3000687^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 441804489 + ... + 442302620.

Almost surely, 2220201021210194 is an apocalyptic number.

220201021210194 is an abundant number, since it is smaller than the sum of its proper divisors (265141954323846).

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

220201021210194 is a wasteful number, since it uses less digits than its factorization.

220201021210194 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884107355 (or 884107352 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 220201021210194 in words is "two hundred twenty trillion, two hundred one billion, twenty-one million, two hundred ten thousand, one hundred ninety-four".

Divisors: 1 2 3 6 9 18 101 137 202 274 303 411 606 822 909 1233 1818 2466 13837 27674 41511 83022 124533 249066 884107109 1768214218 2652321327 5304642654 7956963981 15913927962 89294818009 121122673933 178589636018 242245347866 267884454027 363368021799 535768908054 726736043598 803653362081 1090104065397 1607306724162 2180208130794 12233390067233 24466780134466 36700170201699 73400340403398 110100510605097 220201021210194