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201438216 = 23327257097
BaseRepresentation
bin11000000000110…
…11010000001000
3112001001010021200
430000123100020
5403032010331
631553304200
74664124300
oct1400332010
9461033250
10201438216
11a3785571
1257565060
133296bb15
141ca78600
1512a405e6
hexc01b408

201438216 has 72 divisors (see below), whose sum is σ = 634644270. Its totient is φ = 57552768.

The previous prime is 201438199. The next prime is 201438221. The reversal of 201438216 is 612834102.

201438216 is a `hidden beast` number, since 201 + 438 + 21 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 200335716 + 1102500 = 14154^2 + 1050^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 201438216.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 25021 + ... + 32076.

Almost surely, 2201438216 is an apocalyptic number.

It is an amenable number.

201438216 is an abundant number, since it is smaller than the sum of its proper divisors (433206054).

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

201438216 is a wasteful number, since it uses less digits than its factorization.

201438216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57123 (or 57109 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 201438216 is about 14192.8931511514. The cubic root of 201438216 is about 586.2019905736.

The spelling of 201438216 in words is "two hundred one million, four hundred thirty-eight thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 57097 114194 171291 228388 342582 399679 456776 513873 685164 799358 1027746 1199037 1370328 1598716 2055492 2398074 2797753 3197432 3597111 4110984 4796148 5595506 7194222 8393259 9592296 11191012 14388444 16786518 22382024 25179777 28776888 33573036 50359554 67146072 100719108 201438216