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1134223104 = 2837239173
BaseRepresentation
bin100001110011010…
…1101111100000000
32221001020111121010
41003212231330000
54310330114404
6304314200520
740051510620
oct10346557400
92831214533
101134223104
1153226a673
12277a23140
13150ca3c41
14aa8ca880
1569896189
hex439adf00

1134223104 has 144 divisors (see below), whose sum is σ = 3600317952. Its totient is φ = 309940224.

The previous prime is 1134223099. The next prime is 1134223109. The reversal of 1134223104 is 4013224311.

It is an interprime number because it is at equal distance from previous prime (1134223099) and next prime (1134223109).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1134223109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119062 + ... + 128234.

It is an arithmetic number, because the mean of its divisors is an integer number (25002208).

Almost surely, 21134223104 is an apocalyptic number.

1134223104 is a gapful number since it is divisible by the number (14) 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 1134223104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1800158976).

1134223104 is an abundant number, since it is smaller than the sum of its proper divisors (2466094848).

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

1134223104 is an equidigital number, since it uses as much as digits as its factorization.

1134223104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9222 (or 9208 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1134223104 is about 33678.2289320564. The cubic root of 1134223104 is about 1042.8763765872.

Adding to 1134223104 its reverse (4013224311), we get a palindrome (5147447415).

The spelling of 1134223104 in words is "one billion, one hundred thirty-four million, two hundred twenty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 128 138 161 168 184 192 224 256 276 322 336 368 384 448 483 552 644 672 736 768 896 966 1104 1288 1344 1472 1792 1932 2208 2576 2688 2944 3864 4416 5152 5376 5888 7728 8832 9173 10304 15456 17664 18346 20608 27519 30912 36692 41216 55038 61824 64211 73384 110076 123648 128422 146768 192633 210979 220152 256844 293536 385266 421958 440304 513688 587072 632937 770532 843916 880608 1027376 1174144 1265874 1476853 1541064 1687832 1761216 2054752 2348288 2531748 2953706 3082128 3375664 3522432 4109504 4430559 5063496 5907412 6164256 6751328 7044864 8219008 8861118 10126992 11814824 12328512 13502656 16438016 17722236 20253984 23629648 24657024 27005312 35444472 40507968 47259296 49314048 54010624 70888944 81015936 94518592 141777888 162031872 189037184 283555776 378074368 567111552 1134223104