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207331201 = 72114172
BaseRepresentation
bin11000101101110…
…01111110000001
3112110010111221101
430112321332001
5411034044301
632323454401
75065200100
oct1426717601
9473114841
10207331201
11a7040000
1259527401
1333c531ac
141d770037
1513306701
hexc5b9f81

207331201 has 45 divisors (see below), whose sum is σ = 281821395. Its totient is φ = 152053440.

The previous prime is 207331181. The next prime is 207331207. The reversal of 207331201 is 102133702.

The square root of 207331201 is 14399.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 161417025 + 45914176 = 12705^2 + 6776^2 .

It is not a de Polignac number, because 207331201 - 215 = 207298433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (207331207) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 12195945 + ... + 12195961.

Almost surely, 2207331201 is an apocalyptic number.

207331201 is the 14399-th square number.

207331201 is the 7200-th centered octagonal number.

It is an amenable number.

207331201 is a deficient number, since it is larger than the sum of its proper divisors (74490194).

207331201 is an frugal number, since it uses more digits than its factorization.

207331201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 19.

The cubic root of 207331201 is about 591.8634951658.

Adding to 207331201 its reverse (102133702), we get a palindrome (309464903).

The spelling of 207331201 in words is "two hundred seven million, three hundred thirty-one thousand, two hundred one".

Divisors: 1 7 11 17 49 77 119 121 187 289 539 833 847 1309 1331 2023 2057 3179 5929 9163 9317 14161 14399 14641 22253 22627 34969 65219 100793 102487 155771 158389 244783 248897 384659 717409 1108723 1713481 1742279 2692613 4231249 12195953 18848291 29618743 207331201