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217042310884 = 227210723112
BaseRepresentation
bin1100101000100010111…
…0101101011011100100
3202202020001101210000211
43022020232231123210
512024000312422014
6243412521545204
721452340126400
oct3121056553344
9682201353024
10217042310884
11840577a9653
1236093045204
131760c007bb9
14a70d656100
1559a4707cc4
hex3288bad6e4

217042310884 has 81 divisors (see below), whose sum is σ = 447442742019. Its totient is φ = 91852506480.

The previous prime is 217042310879. The next prime is 217042310957. The reversal of 217042310884 is 488013240712.

The square root of 217042310884 is 465878.

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

217042310884 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2170423108842 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 697885089 + ... + 697885399.

Almost surely, 2217042310884 is an apocalyptic number.

217042310884 is the 465878-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 217042310884

217042310884 is an abundant number, since it is smaller than the sum of its proper divisors (230400431135).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

217042310884 is an equidigital number, since it uses as much as digits as its factorization.

217042310884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The spelling of 217042310884 in words is "two hundred seventeen billion, forty-two million, three hundred ten thousand, eight hundred eighty-four".

Divisors: 1 2 4 7 14 28 49 98 107 196 214 311 428 622 749 1244 1498 2177 2996 4354 5243 8708 10486 11449 15239 20972 22898 30478 33277 45796 60956 66554 80143 96721 133108 160286 193442 232939 320572 386884 465878 561001 677047 931756 1122002 1354094 1630573 2244004 2708188 3261146 3560639 4739329 6522292 7121278 9478658 10349147 14242556 18957316 20698294 24924473 41396588 49848946 72444029 99697892 144888058 174471311 289776116 348942622 507108203 697885244 1014216406 1107358729 2028432812 2214717458 4429434916 7751511103 15503022206 31006044412 54260577721 108521155442 217042310884