Search a number
-
+
221503728294 = 23283701211501
BaseRepresentation
bin1100111001001010100…
…1101010101010100110
3210011201222100021011200
43032102221222222212
512112114423301134
6245431333343330
722001032424262
oct3162251525246
9704658307150
10221503728294
1185a37097582
1236b19197b46
1317b703c3064
14aa13d9b0a2
155b66224499
hex3392a6aaa6

221503728294 has 48 divisors (see below), whose sum is σ = 486402147504. Its totient is φ = 72840600000.

The previous prime is 221503728293. The next prime is 221503728311. The reversal of 221503728294 is 492827305122.

221503728294 is a `hidden beast` number, since 221 + 50 + 372 + 8 + 2 + 9 + 4 = 666.

221503728294 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221503728293) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 941544 + ... + 1153044.

It is an arithmetic number, because the mean of its divisors is an integer number (10133378073).

Almost surely, 2221503728294 is an apocalyptic number.

221503728294 is an abundant number, since it is smaller than the sum of its proper divisors (264898419210).

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

221503728294 is a wasteful number, since it uses less digits than its factorization.

221503728294 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212293 (or 212290 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 221503728294 in words is "two hundred twenty-one billion, five hundred three million, seven hundred twenty-eight thousand, two hundred ninety-four".

Divisors: 1 2 3 6 9 18 83 166 249 498 701 747 1402 1494 2103 4206 6309 12618 58183 116366 174549 211501 349098 423002 523647 634503 1047294 1269006 1903509 3807018 17554583 35109166 52663749 105327498 148262201 157991247 296524402 315982494 444786603 889573206 1334359809 2668719618 12305762683 24611525366 36917288049 73834576098 110751864147 221503728294