Search a number
-
+
2230013000 = 235329131587
BaseRepresentation
bin1000010011101011…
…0100110001001000
312202102011101202002
42010322310301020
514031340404000
61005140530132
7106155540425
oct20472646110
95672141662
102230013000
11a44869856
125229b0948
1329700c527
14172250d4c
15d0b998d5
hex84eb4c48

2230013000 has 128 divisors (see below), whose sum is σ = 5448643200. Its totient is φ = 853216000.

The previous prime is 2230012999. The next prime is 2230013017. The reversal of 2230013000 is 3100322.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3798707 + ... + 3799293.

It is an arithmetic number, because the mean of its divisors is an integer number (42567525).

Almost surely, 22230013000 is an apocalyptic number.

2230013000 is a gapful number since it is divisible by the number (20) 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 2230013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2724321600).

2230013000 is an abundant number, since it is smaller than the sum of its proper divisors (3218630200).

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

2230013000 is a wasteful number, since it uses less digits than its factorization.

2230013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 2230013000 is about 47223.0134574235. The cubic root of 2230013000 is about 1306.4790949112.

Adding to 2230013000 its reverse (3100322), we get a palindrome (2233113322).

The spelling of 2230013000 in words is "two billion, two hundred thirty million, thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 125 131 145 200 232 250 262 290 500 524 580 587 655 725 1000 1048 1160 1174 1310 1450 2348 2620 2900 2935 3275 3625 3799 4696 5240 5800 5870 6550 7250 7598 11740 13100 14500 14675 15196 16375 17023 18995 23480 26200 29000 29350 30392 32750 34046 37990 58700 65500 68092 73375 75980 76897 85115 94975 117400 131000 136184 146750 151960 153794 170230 189950 293500 307588 340460 379900 384485 425575 474875 587000 615176 680920 759800 768970 851150 949750 1537940 1702300 1899500 1922425 2127875 2230013 3075880 3404600 3799000 3844850 4255750 4460026 7689700 8511500 8920052 9612125 11150065 15379400 17023000 17840104 19224250 22300130 38448500 44600260 55750325 76897000 89200520 111500650 223001300 278751625 446002600 557503250 1115006500 2230013000