Search a number
-
+
2299871232 = 214341733
BaseRepresentation
bin1000100100010101…
…0100000000000000
312221021121120020000
42021011110000000
514202231334412
61020114120000
7110664403641
oct21105240000
95837546200
102299871232
11a8024332a
12542280000
132a862b669
1417b6376c8
15d6d984dc
hex89154000

2299871232 has 150 divisors (see below), whose sum is σ = 6874975338. Its totient is φ = 766181376.

The previous prime is 2299871209. The next prime is 2299871243. The reversal of 2299871232 is 2321789922.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1916338176 + 383533056 = 43776^2 + 19584^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1326238 + ... + 1327970.

Almost surely, 22299871232 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 2299871232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3437487669).

2299871232 is an abundant number, since it is smaller than the sum of its proper divisors (4575104106).

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

2299871232 is an frugal number, since it uses more digits than its factorization.

2299871232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1773 (or 1738 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 2299871232 is about 47956.9727151329. The cubic root of 2299871232 is about 1319.9814873437.

The spelling of 2299871232 in words is "two billion, two hundred ninety-nine million, eight hundred seventy-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 1733 2048 2304 2592 3072 3456 3466 4096 4608 5184 5199 6144 6912 6932 8192 9216 10368 10398 12288 13824 13864 15597 16384 18432 20736 20796 24576 27648 27728 31194 36864 41472 41592 46791 49152 55296 55456 62388 73728 82944 83184 93582 110592 110912 124776 140373 147456 165888 166368 187164 221184 221824 249552 280746 331776 332736 374328 442368 443648 499104 561492 663552 665472 748656 887296 998208 1122984 1327104 1330944 1497312 1774592 1996416 2245968 2661888 2994624 3549184 3992832 4491936 5323776 5989248 7098368 7985664 8983872 10647552 11978496 14196736 15971328 17967744 21295104 23956992 28393472 31942656 35935488 42590208 47913984 63885312 71870976 85180416 95827968 127770624 143741952 191655936 255541248 287483904 383311872 574967808 766623744 1149935616 2299871232