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2231248296 = 2333747193277
BaseRepresentation
bin1000010011111110…
…0010010110101000
312202111111011020210
42010333202112220
514032144421141
61005223221120
7106202204034
oct20477422650
95674434223
102231248296
11a45532962
125232a77a0
13297352884
141724931c4
15d0d40916
hex84fe25a8

2231248296 has 128 divisors (see below), whose sum is σ = 5902318080. Its totient is φ = 702038016.

The previous prime is 2231248291. The next prime is 2231248319. The reversal of 2231248296 is 6928421322.

It is a super-3 number, since 3×22312482963 (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2231248291) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8054910 + ... + 8055186.

It is an arithmetic number, because the mean of its divisors is an integer number (46111860).

Almost surely, 22231248296 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 2231248296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2951159040).

2231248296 is an abundant number, since it is smaller than the sum of its proper divisors (3671069784).

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

2231248296 is a wasteful number, since it uses less digits than its factorization.

2231248296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 559 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 2231248296 is about 47236.0910321758. The cubic root of 2231248296 is about 1306.7202878986.

The spelling of 2231248296 in words is "two billion, two hundred thirty-one million, two hundred forty-eight thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 24 37 47 74 94 111 141 148 188 193 222 277 282 296 376 386 444 554 564 579 772 831 888 1108 1128 1158 1544 1662 1739 2216 2316 3324 3478 4632 5217 6648 6956 7141 9071 10249 10434 13019 13912 14282 18142 20498 20868 21423 26038 27213 28564 30747 36284 39057 40996 41736 42846 52076 53461 54426 57128 61494 72568 78114 81992 85692 104152 106922 108852 122988 156228 160383 171384 213844 217704 245976 312456 320766 335627 427688 481703 641532 671254 963406 1006881 1283064 1342508 1445109 1926812 1978057 2013762 2512667 2685016 2890218 3853624 3956114 4027524 5025334 5780436 5934171 7538001 7912228 8055048 10050668 11560872 11868342 15076002 15824456 20101336 23736684 30152004 47473368 60304008 92968679 185937358 278906037 371874716 557812074 743749432 1115624148 2231248296