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201162016 = 251134723
BaseRepresentation
bin10111111110101…
…11110100100000
3112000112002102001
423333113310200
5402444141031
631543333344
74661564116
oct1377276440
9460462361
10201162016
11a3607000
1257451254
13328a31a3
141ca05ab6
15129d8861
hexbfd7d20

201162016 has 48 divisors (see below), whose sum is σ = 435703968. Its totient is φ = 91417920.

The previous prime is 201162011. The next prime is 201162023. The reversal of 201162016 is 610261102.

It is a junction number, because it is equal to n+sod(n) for n = 201161984 and 201162002.

It is not an unprimeable number, because it can be changed into a prime (201162011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40231 + ... + 44953.

It is an arithmetic number, because the mean of its divisors is an integer number (9077166).

Almost surely, 2201162016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201162016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217851984).

201162016 is an abundant number, since it is smaller than the sum of its proper divisors (234541952).

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

201162016 is an equidigital number, since it uses as much as digits as its factorization.

201162016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4766 (or 4736 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 201162016 is about 14183.1595915720. The cubic root of 201162016 is about 585.9339463574.

The spelling of 201162016 in words is "two hundred one million, one hundred sixty-two thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1331 1936 2662 3872 4723 5324 9446 10648 18892 21296 37784 42592 51953 75568 103906 151136 207812 415624 571483 831248 1142966 1662496 2285932 4571864 6286313 9143728 12572626 18287456 25145252 50290504 100581008 201162016