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2314947072 = 2933161797
BaseRepresentation
bin1000100111111011…
…0100101000000000
312222022222111101110
42021332310220000
514220111301242
61021413203320
7111236503554
oct21176645000
95868874343
102314947072
11a887aaaa9
12547330540
132ab7a9689
1417d63d864
15d837539c
hex89fb4a00

2314947072 has 160 divisors (see below), whose sum is σ = 6478585344. Its totient is φ = 733593600.

The previous prime is 2314947059. The next prime is 2314947073. The reversal of 2314947072 is 2707494132.

It is a super-2 number, since 2×23149470722 = 10717959892322746368, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2314947072.

It is not an unprimeable number, because it can be changed into a prime (2314947073) 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 15 ways as a sum of consecutive naturals, for example, 2904178 + ... + 2904974.

Almost surely, 22314947072 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 2314947072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3239292672).

2314947072 is an abundant number, since it is smaller than the sum of its proper divisors (4163638272).

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

2314947072 is an equidigital number, since it uses as much as digits as its factorization.

2314947072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 2314947072 is about 48113.8968698234. The cubic root of 2314947072 is about 1322.8594029171.

The spelling of 2314947072 in words is "two billion, three hundred fourteen million, nine hundred forty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 61 62 64 93 96 122 124 128 183 186 192 244 248 256 366 372 384 488 496 512 732 744 768 797 976 992 1464 1488 1536 1594 1891 1952 1984 2391 2928 2976 3188 3782 3904 3968 4782 5673 5856 5952 6376 7564 7808 7936 9564 11346 11712 11904 12752 15128 15616 15872 19128 22692 23424 23808 24707 25504 30256 31232 38256 45384 46848 47616 48617 49414 51008 60512 74121 76512 90768 93696 97234 98828 102016 121024 145851 148242 153024 181536 194468 197656 204032 242048 291702 296484 306048 363072 388936 395312 408064 484096 583404 592968 612096 726144 777872 790624 968192 1166808 1185936 1224192 1452288 1507127 1555744 1581248 2333616 2371872 2904576 3014254 3111488 3162496 4521381 4667232 4743744 6028508 6222976 6324992 9042762 9334464 9487488 12057016 12445952 12649984 18085524 18668928 18974976 24114032 24891904 36171048 37337856 37949952 48228064 72342096 74675712 96456128 144684192 192912256 289368384 385824512 578736768 771649024 1157473536 2314947072