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201140303220 = 22345614994079
BaseRepresentation
bin1011101101010011100…
…1010111010101110100
3201020011210222002110000
42323110321113111310
511243413404200340
6232222542431300
720350305240123
oct2732471272564
9636153862400
10201140303220
117833750395a
1232b95592530
1315c766416cc
149a41711aba
15537361bd30
hex2ed4e57574

201140303220 has 240 divisors, whose sum is σ = 642771360000. Its totient is φ = 52639476480.

The previous prime is 201140303209. The next prime is 201140303267. The reversal of 201140303220 is 22303041102.

201140303220 is a `hidden beast` number, since 2 + 0 + 1 + 140 + 303 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 201140303193 and 201140303202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 49309141 + ... + 49313219.

It is an arithmetic number, because the mean of its divisors is an integer number (2678214000).

Almost surely, 2201140303220 is an apocalyptic number.

201140303220 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 201140303220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321385680000).

201140303220 is an abundant number, since it is smaller than the sum of its proper divisors (441631056780).

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

201140303220 is a wasteful number, since it uses less digits than its factorization.

201140303220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4660 (or 4649 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 201140303220 its reverse (22303041102), we get a palindrome (223443344322).

The spelling of 201140303220 in words is "two hundred one billion, one hundred forty million, three hundred three thousand, two hundred twenty".