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200219556681 = 321491532
BaseRepresentation
bin1011101001111000000…
…0111111101101001001
3201010210122102022122100
42322132000333231021
511240022201303211
6231551331544013
720315425102644
oct2723600775511
9633718368570
10200219556681
1177a047a1401
123297915b009
1315b5a962b81
149995314a5b
15531c893156
hex2e9e03fb49

200219556681 has 9 divisors (see below), whose sum is σ = 289207965319. Its totient is φ = 133478809536.

The previous prime is 200219556671. The next prime is 200219556707. The reversal of 200219556681 is 186655912002.

The square root of 200219556681 is 447459.

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

200219556681 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 1 + 9 + 5 + 566 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14816975625 + 185402581056 = 121725^2 + 430584^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 200219556681 - 213 = 200219548489 is a prime.

It is a super-2 number, since 2×2002195566812 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (200219556671) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1267801 + ... + 1416953.

Almost surely, 2200219556681 is an apocalyptic number.

200219556681 is the 447459-th square number.

200219556681 is the 223730-th centered octagonal number.

It is an amenable number.

200219556681 is a deficient number, since it is larger than the sum of its proper divisors (88988408638).

200219556681 is an frugal number, since it uses more digits than its factorization.

200219556681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298312 (or 149156 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

It can be divided in two parts, 200219 and 556681, that added together give a square (756900 = 8702).

The spelling of 200219556681 in words is "two hundred billion, two hundred nineteen million, five hundred fifty-six thousand, six hundred eighty-one".

Divisors: 1 3 9 149153 447459 1342377 22246617409 66739852227 200219556681