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219780003249 = 321562692
BaseRepresentation
bin1100110010101111101…
…0001011010110110001
3210000021211211221221100
43030223322023112301
512100102140100444
6244544320115013
721610232126652
oct3145372132661
9700254757840
10219780003249
118523209a424
1236717a65a69
131795725aa01
14a8cd09b529
155ab4c35e69
hex332be8b5b1

219780003249 has 9 divisors (see below), whose sum is σ = 317462036203. Its totient is φ = 146519064552.

The previous prime is 219780003197. The next prime is 219780003251. The reversal of 219780003249 is 942300087912.

The square root of 219780003249 is 468807.

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., 46940255649 + 172839747600 = 216657^2 + 415740^2 .

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

It is not a de Polignac number, because 219780003249 - 211 = 219780001201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (219780003299) 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, 1328287 + ... + 1484555.

Almost surely, 2219780003249 is an apocalyptic number.

219780003249 is the 468807-th square number.

219780003249 is the 234404-th centered octagonal number.

It is an amenable number.

219780003249 is a deficient number, since it is larger than the sum of its proper divisors (97682032954).

219780003249 is an frugal number, since it uses more digits than its factorization.

219780003249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312544 (or 156272 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 219780003249 in words is "two hundred nineteen billion, seven hundred eighty million, three thousand, two hundred forty-nine".

Divisors: 1 3 9 156269 468807 1406421 24420000361 73260001083 219780003249