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22022101000 = 235322022101
BaseRepresentation
bin10100100000100111…
…101001100000001000
32002211202110122100101
4110200213221200020
5330100124213000
614041122015144
71406504525044
oct244047514010
962752418311
1022022101000
1193809a1479
1243271a74b4
1320cc5bc7c3
1410cca95024
1588d546e6a
hex5209e9808

22022101000 has 32 divisors (see below), whose sum is σ = 51531718680. Its totient is φ = 8808840000.

The previous prime is 22022100983. The next prime is 22022101001. The reversal of 22022101000 is 10122022.

It can be written as a sum of positive squares in 4 ways, for example, as 4329376804 + 17692724196 = 65798^2 + 133014^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (22022101001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11010051 + ... + 11012050.

Almost surely, 222022101000 is an apocalyptic number.

22022101000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22022101000 is an abundant number, since it is smaller than the sum of its proper divisors (29509617680).

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

22022101000 is a wasteful number, since it uses less digits than its factorization.

22022101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22022122 (or 22022108 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 22022101000 its reverse (10122022), we get a palindrome (22032223022).

The spelling of 22022101000 in words is "twenty-two billion, twenty-two million, one hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 22022101 44044202 88088404 110110505 176176808 220221010 440442020 550552525 880884040 1101105050 2202210100 2752762625 4404420200 5505525250 11011050500 22022101000