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2286472704 = 2933121549
BaseRepresentation
bin1000100001001000…
…1100111000000000
312220100101211220020
42020102030320000
514140314111304
61014515013440
7110442461115
oct21022147000
95810354806
102286472704
11a7372186a
1253989a280
132a5919c39
1417994a90c
15d5aed5d9
hex8848ce00

2286472704 has 120 divisors (see below), whose sum is σ = 6298201800. Its totient is φ = 737095680.

The previous prime is 2286472697. The next prime is 2286472729. The reversal of 2286472704 is 4072746822.

It is a super-2 number, since 2×22864727042 = 10455914852274143232, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1475322 + ... + 1476870.

It is an arithmetic number, because the mean of its divisors is an integer number (52485015).

Almost surely, 22286472704 is an apocalyptic number.

2286472704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2286472704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3149100900).

2286472704 is an abundant number, since it is smaller than the sum of its proper divisors (4011729096).

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

2286472704 is an equidigital number, since it uses as much as digits as its factorization.

2286472704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632 (or 1585 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 42.

The square root of 2286472704 is about 47817.0754438203. The cubic root of 2286472704 is about 1317.4131892051.

The spelling of 2286472704 in words is "two billion, two hundred eighty-six million, four hundred seventy-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 512 744 768 961 992 1488 1536 1549 1922 1984 2883 2976 3098 3844 3968 4647 5766 5952 6196 7688 7936 9294 11532 11904 12392 15376 15872 18588 23064 23808 24784 30752 37176 46128 47616 48019 49568 61504 74352 92256 96038 99136 123008 144057 148704 184512 192076 198272 246016 288114 297408 369024 384152 396544 492032 576228 594816 738048 768304 793088 1152456 1189632 1476096 1488589 1536608 2304912 2379264 2977178 3073216 4465767 4609824 5954356 6146432 8931534 9219648 11908712 12292864 17863068 18439296 23817424 24585728 35726136 36878592 47634848 71452272 73757184 95269696 142904544 190539392 285809088 381078784 571618176 762157568 1143236352 2286472704