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2321221284 = 22325310971109
BaseRepresentation
bin1000101001011011…
…0000011010100100
312222202210020222200
42022112300122210
514223213040114
61022155454500
7111344024664
oct21226603244
95882706880
102321221284
11a912a59a8
12549457430
132acb95425
141803d41a4
15d8bb4409
hex8a5b06a4

2321221284 has 72 divisors (see below), whose sum is σ = 5989084920. Its totient is φ = 757765632.

The previous prime is 2321221283. The next prime is 2321221319. The reversal of 2321221284 is 4821221232.

It can be written as a sum of positive squares in 4 ways, for example, as 10304100 + 2310917184 = 3210^2 + 48072^2 .

It is not an unprimeable number, because it can be changed into a prime (2321221283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2092522 + ... + 2093630.

It is an arithmetic number, because the mean of its divisors is an integer number (83181735).

Almost surely, 22321221284 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2321221284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2994542460).

2321221284 is an abundant number, since it is smaller than the sum of its proper divisors (3667863636).

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

2321221284 is a wasteful number, since it uses less digits than its factorization.

2321221284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2269 (or 2264 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 2321221284 is about 48179.0544116424. The cubic root of 2321221284 is about 1324.0534421950.

The spelling of 2321221284 in words is "two billion, three hundred twenty-one million, two hundred twenty-one thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1097 1109 1908 2194 2218 3291 3327 4388 4436 6582 6654 9873 9981 13164 13308 19746 19962 39492 39924 58141 58777 116282 117554 174423 176331 232564 235108 348846 352662 523269 528993 697692 705324 1046538 1057986 1216573 2093076 2115972 2433146 3649719 4866292 7299438 10949157 14598876 21898314 43796628 64478369 128956738 193435107 257913476 386870214 580305321 773740428 1160610642 2321221284