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214331035681 = 72661372
BaseRepresentation
bin1100011110011100100…
…0000001000000100001
3202111020002122201122201
43013213020001000201
512002422221120211
6242243505533201
721325215513100
oct3074710010041
9674202581581
10214331035681
1182996311444
1235657044201
13172993a4349
14a53352a037
1558966970c1
hex31e7201021

214331035681 has 9 divisors (see below), whose sum is σ = 249327627699. Its totient is φ = 183709538544.

The previous prime is 214331035657. The next prime is 214331035691. The reversal of 214331035681 is 186530133412.

The square root of 214331035681 is 462959.

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., 175607093025 + 38723942656 = 419055^2 + 196784^2 .

It is not a de Polignac number, because 214331035681 - 25 = 214331035649 is a prime.

It is a super-2 number, since 2×2143310356812 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 214331035681.

It is not an unprimeable number, because it can be changed into a prime (214331035621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3207645 + ... + 3273781.

Almost surely, 2214331035681 is an apocalyptic number.

214331035681 is the 462959-th square number.

214331035681 is the 231480-th centered octagonal number.

It is an amenable number.

214331035681 is a deficient number, since it is larger than the sum of its proper divisors (34996592018).

214331035681 is an frugal number, since it uses more digits than its factorization.

214331035681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132288 (or 66144 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The spelling of 214331035681 in words is "two hundred fourteen billion, three hundred thirty-one million, thirty-five thousand, six hundred eighty-one".

Divisors: 1 7 49 66137 462959 3240713 4374102769 30618719383 214331035681