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221003022020 = 225115371266957
BaseRepresentation
bin1100110111010011001…
…1100111111011000100
3210010110002011202021212
43031310303213323010
512110103233201040
6245305525430552
721652442456234
oct3156463477304
9703402152255
10221003022020
11857aa498540
12369b956b458
1317ac0751661
14a9a769dcc4
155b372bbd65
hex3374ce7ec4

221003022020 has 96 divisors (see below), whose sum is σ = 523118082816. Its totient is φ = 77737587200.

The previous prime is 221003021977. The next prime is 221003022029. The reversal of 221003022020 is 20220300122.

It is a junction number, because it is equal to n+sod(n) for n = 221003021986 and 221003022004.

It is not an unprimeable number, because it can be changed into a prime (221003022029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 694382 + ... + 961338.

It is an arithmetic number, because the mean of its divisors is an integer number (5449146696).

Almost surely, 2221003022020 is an apocalyptic number.

221003022020 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 221003022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261559041408).

221003022020 is an abundant number, since it is smaller than the sum of its proper divisors (302115060796).

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

221003022020 is a wasteful number, since it uses less digits than its factorization.

221003022020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267101 (or 267099 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 221003022020 its reverse (20220300122), we get a palindrome (241223322142).

The spelling of 221003022020 in words is "two hundred twenty-one billion, three million, twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 53 55 71 106 110 142 212 220 265 284 355 530 583 710 781 1060 1166 1420 1562 2332 2915 3124 3763 3905 5830 7526 7810 11660 15052 15620 18815 37630 41393 75260 82786 165572 206965 266957 413930 533914 827860 1067828 1334785 2669570 2936527 5339140 5873054 11746108 14148721 14682635 18953947 28297442 29365270 37907894 56594884 58730540 70743605 75815788 94769735 141487210 155635931 189539470 208493417 282974420 311271862 379078940 416986834 622543724 778179655 833973668 1004559191 1042467085 1556359310 2009118382 2084934170 3112718620 4018236764 4169868340 5022795955 10045591910 11050151101 20091183820 22100302202 44200604404 55250755505 110501511010 221003022020