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201016620 = 223357271107
BaseRepresentation
bin10111111101101…
…00010100101100
3112000020200222000
423332310110230
5402430012440
631540252300
74660420200
oct1376642454
9460220860
10201016620
11a3517842
12573a1090
1332851c5c
141c9a8b00
15129aa730
hexbfb452c

201016620 has 288 divisors, whose sum is σ = 744629760. Its totient is φ = 44876160.

The previous prime is 201016579. The next prime is 201016639. The reversal of 201016620 is 26610102.

201016620 = T2344 + T2345 + ... + T2414.

It is a happy number.

201016620 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 1 + 662 + 0 = 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 = 201016593 and 201016602.

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, 1878607 + ... + 1878713.

It is an arithmetic number, because the mean of its divisors is an integer number (2585520).

Almost surely, 2201016620 is an apocalyptic number.

201016620 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 201016620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372314880).

201016620 is an abundant number, since it is smaller than the sum of its proper divisors (543613140).

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

201016620 is a wasteful number, since it uses less digits than its factorization.

201016620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 201016620 is about 14178.0330088486. The cubic root of 201016620 is about 585.7927451055.

Adding to 201016620 its reverse (26610102), we get a palindrome (227626722).

The spelling of 201016620 in words is "two hundred one million, sixteen thousand, six hundred twenty".