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21223133220 = 22352957721139
BaseRepresentation
bin10011110000111111…
…110101000000100100
32000210002001212121010
4103300333311000210
5321431110230340
613425541222220
71350633440652
oct236077650044
960702055533
1021223133220
1190009a6123
124143701970
132002c0b6c3
141054917dd2
15843325b80
hex4f0ff5024

21223133220 has 96 divisors (see below), whose sum is σ = 61583356800. Its totient is φ = 5454618624.

The previous prime is 21223133207. The next prime is 21223133221. The reversal of 21223133220 is 2233132212.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (21223133221) 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 31 ways as a sum of consecutive naturals, for example, 993411 + ... + 1014549.

It is an arithmetic number, because the mean of its divisors is an integer number (641493300).

Almost surely, 221223133220 is an apocalyptic number.

21223133220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21223133220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30791678400).

21223133220 is an abundant number, since it is smaller than the sum of its proper divisors (40360223580).

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

21223133220 is a wasteful number, since it uses less digits than its factorization.

21223133220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21757 (or 21755 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 21223133220 its reverse (2233132212), we get a palindrome (23456265432).

The spelling of 21223133220 in words is "twenty-one billion, two hundred twenty-three million, one hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 577 580 870 1154 1731 1740 2308 2885 3462 5770 6924 8655 11540 16733 17310 21139 33466 34620 42278 50199 63417 66932 83665 84556 100398 105695 126834 167330 200796 211390 250995 253668 317085 334660 422780 501990 613031 634170 1003980 1226062 1268340 1839093 2452124 3065155 3678186 6130310 7356372 9195465 12197203 12260620 18390930 24394406 36591609 36781860 48788812 60986015 73183218 121972030 146366436 182958045 243944060 353718887 365916090 707437774 731832180 1061156661 1414875548 1768594435 2122313322 3537188870 4244626644 5305783305 7074377740 10611566610 21223133220