Search a number
-
+
220204002204141 = 33159131733417941
BaseRepresentation
bin110010000100011000111101…
…010101000101100111101101
31001212200022000112020021200120
4302010120331111011213231
5212330310244031013031
62100200153322515153
764245133311430164
oct6204307525054755
91055608015207616
10220204002204141
1164188aa15a080a
1220845016965ab9
1395b41c0aa57c7
143c53d056cc3db
151a6d028907a96
hexc8463d5459ed

220204002204141 has 64 divisors (see below), whose sum is σ = 310990575329280. Its totient is φ = 138403672992000.

The previous prime is 220204002204107. The next prime is 220204002204149. The reversal of 220204002204141 is 141402200402022.

It is a happy number.

220204002204141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 220204002204141 - 210 = 220204002203117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220204002204149) 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, 526669231 + ... + 527087171.

It is an arithmetic number, because the mean of its divisors is an integer number (4859227739520).

Almost surely, 2220204002204141 is an apocalyptic number.

It is an amenable number.

220204002204141 is a deficient number, since it is larger than the sum of its proper divisors (90786573125139).

220204002204141 is a wasteful number, since it uses less digits than its factorization.

220204002204141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418898.

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 220204002204141 its reverse (141402200402022), we get a palindrome (361606202606163).

The spelling of 220204002204141 in words is "two hundred twenty trillion, two hundred four billion, two million, two hundred four thousand, one hundred forty-one".

Divisors: 1 3 31 59 93 131 177 393 733 1829 2199 4061 5487 7729 12183 22723 23187 43247 68169 96023 129741 239599 288069 417941 718797 1253823 1340657 2976713 4021971 5665357 8930139 12956171 16996071 24658519 38868513 54750271 73975557 164250813 175626067 306350753 526878201 764414089 919052259 1697258401 2293242267 3230265989 5091775203 9496873343 9690797967 18074694427 28490620029 40131948643 54224083281 100138245659 120395845929 300414736977 560315527237 1244090407933 1680946581711 2367784969937 3732271223799 7103354909811 73401334068047 220204002204141