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201064212 = 223259181523
BaseRepresentation
bin10111111101111…
…11111100010100
3112000100010020200
423332333330110
5402433023322
631541300500
74661006016
oct1376777424
9460303220
10201064212
11a354a578
1257404730
133286a80b
141c9bc1b6
15129b98ac
hexbfbff14

201064212 has 72 divisors (see below), whose sum is σ = 520709280. Its totient is φ = 65396160.

The previous prime is 201064187. The next prime is 201064217. The reversal of 201064212 is 212460102.

201064212 is a `hidden beast` number, since 2 + 0 + 10 + 642 + 12 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201064217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 384183 + ... + 384705.

Almost surely, 2201064212 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 201064212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260354640).

201064212 is an abundant number, since it is smaller than the sum of its proper divisors (319645068).

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

201064212 is a wasteful number, since it uses less digits than its factorization.

201064212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 201064212 is about 14179.7112805586. The cubic root of 201064212 is about 585.8389715459.

The spelling of 201064212 in words is "two hundred one million, sixty-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 181 236 354 362 523 531 543 708 724 1046 1062 1086 1569 1629 2092 2124 2172 3138 3258 4707 6276 6516 9414 10679 18828 21358 30857 32037 42716 61714 64074 92571 94663 96111 123428 128148 185142 189326 192222 277713 283989 370284 378652 384444 555426 567978 851967 1110852 1135956 1703934 3407868 5585117 11170234 16755351 22340468 33510702 50266053 67021404 100532106 201064212