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201445020 = 2232572937149
BaseRepresentation
bin11000000000111…
…00111010011100
3112001001110121200
430000130322130
5403032220040
631553355500
74664153160
oct1400347234
9461043550
10201445020
11a378a697
1257568b90
1332971c4a
141ca7aca0
1512a42630
hexc01ce9c

201445020 has 288 divisors, whose sum is σ = 746928000. Its totient is φ = 42964992.

The previous prime is 201445001. The next prime is 201445039. The reversal of 201445020 is 20544102.

201445020 is a `hidden beast` number, since 20 + 144 + 502 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (201445001) and next prime (201445039).

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 = 201444984 and 201445002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1351906 + ... + 1352054.

It is an arithmetic number, because the mean of its divisors is an integer number (2593500).

Almost surely, 2201445020 is an apocalyptic number.

201445020 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 201445020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373464000).

201445020 is an abundant number, since it is smaller than the sum of its proper divisors (545482980).

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

201445020 is a wasteful number, since it uses less digits than its factorization.

201445020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 201445020 is about 14193.1328465565. The cubic root of 201445020 is about 586.2085905682.

Adding to 201445020 its reverse (20544102), we get a palindrome (221989122).

The spelling of 201445020 in words is "two hundred one million, four hundred forty-five thousand, twenty".