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2423424224 = 251337791993
BaseRepresentation
bin1001000001110010…
…1000010011100000
320020220002201001202
42100130220103200
514430344033344
61040250220332
7114024523514
oct22034502340
96226081052
102423424224
111033a61541
125777246a8
132c80ca840
1418dbda144
15e2b5194e
hex907284e0

2423424224 has 96 divisors (see below), whose sum is σ = 5346472320. Its totient is φ = 1073958912.

The previous prime is 2423424209. The next prime is 2423424259. The reversal of 2423424224 is 4224243242.

It is a super-3 number, since 3×24234242243 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1214972 + ... + 1216964.

It is an arithmetic number, because the mean of its divisors is an integer number (55692420).

Almost surely, 22423424224 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 2423424224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2673236160).

2423424224 is an abundant number, since it is smaller than the sum of its proper divisors (2923048096).

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

2423424224 is a wasteful number, since it uses less digits than its factorization.

2423424224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2132 (or 2124 counting only the distinct ones).

The product of its digits is 24576, while the sum is 29.

The square root of 2423424224 is about 49228.2868277985. The cubic root of 2423424224 is about 1343.2076241571.

Adding to 2423424224 its reverse (4224243242), we get a palindrome (6647667466).

The spelling of 2423424224 in words is "two billion, four hundred twenty-three million, four hundred twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 37 52 74 79 104 148 158 208 296 316 416 481 592 632 962 1027 1184 1264 1924 1993 2054 2528 2923 3848 3986 4108 5846 7696 7972 8216 11692 15392 15944 16432 23384 25909 31888 32864 37999 46768 51818 63776 73741 75998 93536 103636 147482 151996 157447 207272 294964 303992 314894 414544 589928 607984 629788 829088 958633 1179856 1215968 1259576 1917266 2046811 2359712 2519152 3834532 4093622 5038304 5825539 7669064 8187244 11651078 15338128 16374488 23302156 30676256 32748976 46604312 65497952 75732007 93208624 151464014 186417248 302928028 605856056 1211712112 2423424224