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890226216324 = 22321572532
BaseRepresentation
bin11001111010001011001…
…11100000110110000100
310011002211101200102120100
430331011213200312010
5104041140402410244
61520544141204100
7121213430662254
oct14750547406604
93132741612510
10890226216324
113135a7544525
12124646b60630
1365c42904963
143113130b964
1518254455b69
hexcf459e0d84

890226216324 has 27 divisors (see below), whose sum is σ = 2250308356933. Its totient is φ = 296740185072.

The previous prime is 890226216301. The next prime is 890226216331. The reversal of 890226216324 is 423612622098.

The square root of 890226216324 is 943518.

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

890226216324 is a `hidden beast` number, since 8 + 9 + 0 + 2 + 2 + 6 + 2 + 1 + 632 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 22779864900 + 867446351424 = 150930^2 + 931368^2 .

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 890226216324.

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 8 ways as a sum of consecutive naturals, for example, 5582482 + ... + 5739734.

Almost surely, 2890226216324 is an apocalyptic number.

890226216324 is the 943518-th square number.

It is an amenable number.

890226216324 is an abundant number, since it is smaller than the sum of its proper divisors (1360082140609).

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

890226216324 is an frugal number, since it uses more digits than its factorization.

890226216324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314516 (or 157258 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 890226216324 in words is "eight hundred ninety billion, two hundred twenty-six million, two hundred sixteen thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 157253 314506 471759 629012 943518 1415277 1887036 2830554 5661108 24728506009 49457012018 74185518027 98914024036 148371036054 222556554081 296742072108 445113108162 890226216324