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201223204420 = 225717922873511
BaseRepresentation
bin1011101101100111010…
…1100110111001000100
3201020101120221220111211
42323121311212321010
511244101120020140
6232235103341204
720352333005440
oct2733165467104
9636346856454
10201223204420
117837a286847
1232bb92b1804
1315c8a879484
149a4c731820
15537aa452ea
hex2ed9d66e44

201223204420 has 96 divisors (see below), whose sum is σ = 485984378880. Its totient is φ = 68555859840.

The previous prime is 201223204393. The next prime is 201223204421. The reversal of 201223204420 is 24402322102.

It is a junction number, because it is equal to n+sod(n) for n = 201223204391 and 201223204400.

It is not an unprimeable number, because it can be changed into a prime (201223204421) 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, 57310465 + ... + 57313975.

It is an arithmetic number, because the mean of its divisors is an integer number (5062337280).

Almost surely, 2201223204420 is an apocalyptic number.

201223204420 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 201223204420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242992189440).

201223204420 is an abundant number, since it is smaller than the sum of its proper divisors (284761174460).

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

201223204420 is a wasteful number, since it uses less digits than its factorization.

201223204420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5993 (or 5991 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 201223204420 its reverse (24402322102), we get a palindrome (225625526522).

The spelling of 201223204420 in words is "two hundred one billion, two hundred twenty-three million, two hundred four thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 179 358 716 895 1253 1790 2287 2506 3511 3580 4574 5012 6265 7022 9148 11435 12530 14044 16009 17555 22870 24577 25060 32018 35110 45740 49154 64036 70220 80045 98308 122885 160090 245770 320180 409373 491540 628469 818746 1256938 1637492 2046865 2513876 2865611 3142345 4093730 4399283 5731222 6284690 8029657 8187460 8798566 11462444 12569380 14328055 16059314 17597132 21996415 28656110 32118628 40148285 43992830 56207599 57312220 80296570 87985660 112415198 160593140 224830396 281037995 562075990 1124151980 1437308603 2874617206 5749234412 7186543015 10061160221 14373086030 20122320442 28746172060 40244640884 50305801105 100611602210 201223204420