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100220022 = 23271941863
BaseRepresentation
bin1011111100100…
…11110001110110
320222120201000200
411332103301312
5201124020042
613540021330
72324566440
oct576236166
9228521020
10100220022
1151631871
1229691846
13179bc9b6
14d44b490
158be9c4c
hex5f93c76

100220022 has 48 divisors (see below), whose sum is σ = 261231360. Its totient is φ = 27126576.

The previous prime is 100220009. The next prime is 100220023. The reversal of 100220022 is 220022001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100219986 and 100220013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100220023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18538 + ... + 23325.

It is an arithmetic number, because the mean of its divisors is an integer number (5442320).

Almost surely, 2100220022 is an apocalyptic number.

100220022 is an abundant number, since it is smaller than the sum of its proper divisors (161011338).

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

100220022 is a wasteful number, since it uses less digits than its factorization.

100220022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41897 (or 41894 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 100220022 is about 10010.9950554378. The cubic root of 100220022 is about 464.4990512212.

Adding to 100220022 its reverse (220022001), we get a palindrome (320242023).

The spelling of 100220022 in words is "one hundred million, two hundred twenty thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 171 266 342 399 798 1197 2394 41863 83726 125589 251178 293041 376767 586082 753534 795397 879123 1590794 1758246 2386191 2637369 4772382 5274738 5567779 7158573 11135558 14317146 16703337 33406674 50110011 100220022