Search a number
-
+
2018227104 = 25341276131
BaseRepresentation
bin111100001001011…
…1011001110100000
312012122122120010000
41320102323032200
513113131231404
6532133340000
7101004435015
oct17022731640
95178576100
102018227104
11946266993
12483a97600
1326218982a
1415208170c
15bc2b3339
hex784bb3a0

2018227104 has 120 divisors (see below), whose sum is σ = 5983262208. Its totient is φ = 667336320.

The previous prime is 2018227093. The next prime is 2018227111. The reversal of 2018227104 is 4017228102.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 326119 + ... + 332249.

Almost surely, 22018227104 is an apocalyptic number.

2018227104 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 2018227104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2991631104).

2018227104 is an abundant number, since it is smaller than the sum of its proper divisors (3965035104).

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

2018227104 is a wasteful number, since it uses less digits than its factorization.

2018227104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6280 (or 6263 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 2018227104 is about 44924.6825698301. The cubic root of 2018227104 is about 1263.7369331830.

The spelling of 2018227104 in words is "two billion, eighteen million, two hundred twenty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 127 144 162 216 254 288 324 381 432 508 648 762 864 1016 1143 1296 1524 2032 2286 2592 3048 3429 4064 4572 6096 6131 6858 9144 10287 12192 12262 13716 18288 18393 20574 24524 27432 36576 36786 41148 49048 54864 55179 73572 82296 98096 109728 110358 147144 164592 165537 196192 220716 294288 329184 331074 441432 496611 588576 662148 778637 882864 993222 1324296 1557274 1765728 1986444 2335911 2648592 3114548 3972888 4671822 5297184 6229096 7007733 7945776 9343644 12458192 14015466 15891552 18687288 21023199 24916384 28030932 37374576 42046398 56061864 63069597 74749152 84092796 112123728 126139194 168185592 224247456 252278388 336371184 504556776 672742368 1009113552 2018227104