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2195016201 = 3272232972
BaseRepresentation
bin1000001011010101…
…0100101000001001
312122222022101011100
42002311110220021
513443411004301
61001450452013
7105252221100
oct20265245011
95588271140
102195016201
11a27036184
12513134009
1328c9a8071
1416b741037
15cca85286
hex82d54a09

2195016201 has 81 divisors (see below), whose sum is σ = 3895711911. Its totient is φ = 1187391744.

The previous prime is 2195016193. The next prime is 2195016223. The reversal of 2195016201 is 1026105912.

The square root of 2195016201 is 46851.

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., 985646025 + 1209370176 = 31395^2 + 34776^2 .

It is not a de Polignac number, because 2195016201 - 23 = 2195016193 is a prime.

It is a super-2 number, since 2×21950162012 = 9636192245304944802, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2195016281) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 22628985 + ... + 22629081.

Almost surely, 22195016201 is an apocalyptic number.

2195016201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2195016201 is the 46851-st square number.

2195016201 is the 23426-th centered octagonal number.

It is an amenable number.

2195016201 is a deficient number, since it is larger than the sum of its proper divisors (1700695710).

2195016201 is an equidigital number, since it uses as much as digits as its factorization.

2195016201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The cubic root of 2195016201 is about 1299.6086003165.

The spelling of 2195016201 in words is "two billion, one hundred ninety-five million, sixteen thousand, two hundred one".

Divisors: 1 3 7 9 21 23 49 63 69 97 147 161 207 291 441 483 529 679 873 1127 1449 1587 2037 2231 3381 3703 4753 4761 6111 6693 9409 10143 11109 14259 15617 20079 25921 28227 33327 42777 46851 51313 65863 77763 84681 109319 140553 153939 197589 216407 233289 327957 359191 461041 461817 592767 649221 983871 1077573 1383123 1514849 1947663 2514337 3232719 4149369 4544547 4977361 7543011 10603943 13633641 14932083 22629033 31811829 34841527 44796249 95435487 104524581 243890689 313573743 731672067 2195016201