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217489784164 = 2225129292
BaseRepresentation
bin1100101010001101100…
…1101011110101100100
3202210101020101202222021
43022203121223311210
512030404341043124
6243525144512524
721466412443252
oct3124331536544
9683336352867
10217489784164
1184267349984
1236198a7b744
131768092b7a3
14a752c575d2
1559cdb477e4
hex32a366bd64

217489784164 has 27 divisors (see below), whose sum is σ = 382541303641. Its totient is φ = 108195056000.

The previous prime is 217489784137. The next prime is 217489784177. The reversal of 217489784164 is 461487984712.

It is a happy number.

The square root of 217489784164 is 466358.

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., 4193598564 + 213296185600 = 64758^2 + 461840^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 234111252 + ... + 234112180.

Almost surely, 2217489784164 is an apocalyptic number.

217489784164 is the 466358-th square number.

It is an amenable number.

217489784164 is a deficient number, since it is larger than the sum of its proper divisors (165051519477).

217489784164 is an frugal number, since it uses more digits than its factorization.

217489784164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2364 (or 1182 counting only the distinct ones).

The product of its digits is 21676032, while the sum is 61.

The spelling of 217489784164 in words is "two hundred seventeen billion, four hundred eighty-nine million, seven hundred eighty-four thousand, one hundred sixty-four".

Divisors: 1 2 4 251 502 929 1004 1858 3716 63001 126002 233179 252004 466358 863041 932716 1726082 3452164 58527929 117055858 216623291 234111716 433246582 866493164 54372446041 108744892082 217489784164