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201220020 = 223251117889
BaseRepresentation
bin10111111111001…
…01111110110100
3112000122000222100
423333211332310
5403003020040
631544502100
74662225201
oct1377457664
9460560870
10201220020
11a3646641
125747a930
13328c3701
141ca1cca8
15129eab30
hexbfe5fb4

201220020 has 36 divisors (see below), whose sum is σ = 610367940. Its totient is φ = 53658624.

The previous prime is 201219917. The next prime is 201220043. The reversal of 201220020 is 20022102.

It can be written as a sum of positive squares in 2 ways, for example, as 45319824 + 155900196 = 6732^2 + 12486^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 201219984 and 201220011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 558765 + ... + 559124.

It is an arithmetic number, because the mean of its divisors is an integer number (16954665).

Almost surely, 2201220020 is an apocalyptic number.

201220020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201220020 is an abundant number, since it is smaller than the sum of its proper divisors (409147920).

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

201220020 is a wasteful number, since it uses less digits than its factorization.

201220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117904 (or 1117899 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 201220020 is about 14185.2042635980. The cubic root of 201220020 is about 585.9902579269.

Adding to 201220020 its reverse (20022102), we get a palindrome (221242122).

The spelling of 201220020 in words is "two hundred one million, two hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1117889 2235778 3353667 4471556 5589445 6707334 10061001 11178890 13414668 16768335 20122002 22357780 33536670 40244004 50305005 67073340 100610010 201220020