Search a number
-
+
221324488 = 23711289367
BaseRepresentation
bin11010011000100…
…10010011001000
3120102110110010021
431030102103020
5423124340423
633543430224
75325140620
oct1514222310
9512413107
10221324488
11103a28400
1262155374
1336b12548
1421573880
151466c95d
hexd3124c8

221324488 has 96 divisors (see below), whose sum is σ = 528595200. Its totient is φ = 85029120.

The previous prime is 221324429. The next prime is 221324489. The reversal of 221324488 is 884423122.

It is not an unprimeable number, because it can be changed into a prime (221324489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 602881 + ... + 603247.

It is an arithmetic number, because the mean of its divisors is an integer number (5506200).

Almost surely, 2221324488 is an apocalyptic number.

221324488 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221324488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264297600).

221324488 is an abundant number, since it is smaller than the sum of its proper divisors (307270712).

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

221324488 is a wasteful number, since it uses less digits than its factorization.

221324488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 476 counting only the distinct ones).

The product of its digits is 24576, while the sum is 34.

The square root of 221324488 is about 14876.9784566625. The cubic root of 221324488 is about 604.8901177851.

The spelling of 221324488 in words is "two hundred twenty-one million, three hundred twenty-four thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 89 121 154 178 242 308 356 367 484 616 623 712 734 847 968 979 1246 1468 1694 1958 2492 2569 2936 3388 3916 4037 4984 5138 6776 6853 7832 8074 10276 10769 13706 16148 20552 21538 27412 28259 32296 32663 43076 44407 54824 56518 65326 75383 86152 88814 113036 130652 150766 177628 226072 228641 261304 301532 310849 355256 359293 457282 603064 621698 718586 914564 1243396 1437172 1829128 2486792 2515051 2874344 3952223 5030102 7904446 10060204 15808892 20120408 27665561 31617784 55331122 110662244 221324488