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220104401022 = 232119091122279
BaseRepresentation
bin1100110011111100111…
…1101010000001111110
3210001010110021002000200
43030333033222001332
512101233211313042
6245040425104330
721621251353032
oct3147717520176
9701113232020
10220104401022
1185389218260
12367a86280a6
13179a951b85c
14a9201c21c2
155ad3463c4c
hex333f3ea07e

220104401022 has 48 divisors (see below), whose sum is σ = 520308247680. Its totient is φ = 66690421200.

The previous prime is 220104401003. The next prime is 220104401029.

220104401022 is a `hidden beast` number, since 2 + 201 + 0 + 440 + 1 + 0 + 22 = 666.

220104401022 is nontrivially palindromic in base 10.

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

It is a junction number, because it is equal to n+sod(n) for n = 220104400986 and 220104401004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220104401029) 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 23 ways as a sum of consecutive naturals, for example, 1738879 + ... + 1861157.

It is an arithmetic number, because the mean of its divisors is an integer number (10839755160).

Almost surely, 2220104401022 is an apocalyptic number.

220104401022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

220104401022 is an abundant number, since it is smaller than the sum of its proper divisors (300203846658).

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

220104401022 is a wasteful number, since it uses less digits than its factorization.

220104401022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131389 (or 131386 counting only the distinct ones).

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

It can be divided in two parts, 220104 and 401022, that added together give a palindrome (621126).

The spelling of 220104401022 in words is "two hundred twenty billion, one hundred four million, four hundred one thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 9091 18182 27273 54546 81819 100001 122279 163638 200002 244558 300003 366837 600006 733674 900009 1100511 1345069 1800018 2201022 2690138 4035207 8070414 12105621 24211242 1111638389 2223276778 3334915167 6669830334 10004745501 12228022279 20009491002 24456044558 36684066837 73368133674 110052200511 220104401022