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222301220020 = 225113133838429
BaseRepresentation
bin1100111100001000101…
…1110110110010110100
3210020210112222001011021
43033002023312302310
512120233103020040
6250042422350524
722026555123115
oct3170213666264
9706715861137
10222301220020
1186306274950
123710028b444
1317c696a8359
14aa8bc7220c
155bb125324a
hex33c22f6cb4

222301220020 has 96 divisors (see below), whose sum is σ = 512293662720. Its totient is φ = 80358620160.

The previous prime is 222301220017. The next prime is 222301220023. The reversal of 222301220020 is 20022103222.

222301220020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (222301220017) and next prime (222301220023).

It is a super-3 number, since 3×2223012200203 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 222301219976 and 222301220003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222301220023) 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, 26369166 + ... + 26377594.

It is an arithmetic number, because the mean of its divisors is an integer number (5336392320).

Almost surely, 2222301220020 is an apocalyptic number.

222301220020 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 222301220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256146831360).

222301220020 is an abundant number, since it is smaller than the sum of its proper divisors (289992442700).

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

222301220020 is a wasteful number, since it uses less digits than its factorization.

222301220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9145 (or 9143 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 222301220020 its reverse (20022103222), we get a palindrome (242323323242).

The spelling of 222301220020 in words is "two hundred twenty-two billion, three hundred one million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 313 383 626 766 1252 1532 1565 1915 3130 3443 3830 4213 6260 6886 7660 8426 8429 13772 16852 16858 17215 21065 33716 34430 42130 42145 68860 84260 84290 92719 119879 168580 185438 239758 370876 463595 479516 599395 927190 1198790 1318669 1854380 2397580 2637338 2638277 3228307 5274676 5276554 6456614 6593345 10553108 12913228 13186690 13191385 16141535 26373380 26382770 29021047 32283070 35511377 52765540 58042094 64566140 71022754 116084188 142045508 145105235 177556885 290210470 355113770 580420940 710227540 1010460091 2020920182 4041840364 5052300455 10104600910 11115061001 20209201820 22230122002 44460244004 55575305005 111150610010 222301220020