Search a number
-
+
220001022122202 = 2337951570797497
BaseRepresentation
bin110010000001011011111010…
…110001100001100011011010
31001211221220002111101202022000
4302001123322301201203122
5212313444043130402302
62055523024015141430
764224356263255506
oct6201337261414332
91054856074352260
10220001022122202
116410aa00633982
1220811809214876
13959b013257149
143c4816b90b306
151a67ae8a2631c
hexc816fac618da

220001022122202 has 32 divisors (see below), whose sum is σ = 495079655980800. Its totient is φ = 72405399684384.

The previous prime is 220001022122183. The next prime is 220001022122207. The reversal of 220001022122202 is 202221220100022.

220001022122202 is a `hidden beast` number, since 220 + 0 + 0 + 1 + 0 + 221 + 2 + 220 + 2 = 666.

It is a super-2 number, since 2×2200010221222022 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (220001022122207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25785394483 + ... + 25785403014.

It is an arithmetic number, because the mean of its divisors is an integer number (15471239249400).

Almost surely, 2220001022122202 is an apocalyptic number.

220001022122202 is an abundant number, since it is smaller than the sum of its proper divisors (275078633858598).

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

220001022122202 is a wasteful number, since it uses less digits than its factorization.

220001022122202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51570797587 (or 51570797581 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 220001022122202 its reverse (202221220100022), we get a palindrome (422222242222224).

The spelling of 220001022122202 in words is "two hundred twenty trillion, one billion, twenty-two million, one hundred twenty-two thousand, two hundred two".

Divisors: 1 2 3 6 9 18 27 54 79 158 237 474 711 1422 2133 4266 51570797497 103141594994 154712392491 309424784982 464137177473 928274354946 1392411532419 2784823064838 4074093002263 8148186004526 12222279006789 24444558013578 36666837020367 73333674040734 110000511061101 220001022122202