Search a number
-
+
2220023000 = 235313389439
BaseRepresentation
bin1000010001010010…
…1101110011011000
312201201100212001002
42010110231303120
514021311214000
61004142444132
7106004612156
oct20424556330
95651325032
102220023000
11a3a166158
1251b593648
13294c223a0
14170bb03d6
15ced748d5
hex8452dcd8

2220023000 has 128 divisors (see below), whose sum is σ = 5621616000. Its totient is φ = 815731200.

The previous prime is 2220022991. The next prime is 2220023011. The reversal of 2220023000 is 3200222.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5056781 + ... + 5057219.

It is an arithmetic number, because the mean of its divisors is an integer number (43918875).

Almost surely, 22220023000 is an apocalyptic number.

2220023000 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 2220023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2810808000).

2220023000 is an abundant number, since it is smaller than the sum of its proper divisors (3401593000).

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

2220023000 is a wasteful number, since it uses less digits than its factorization.

2220023000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 2220023000 is about 47117.1200308338. The cubic root of 2220023000 is about 1304.5252551066.

Adding to 2220023000 its reverse (3200222), we get a palindrome (2223223222).

The spelling of 2220023000 in words is "two billion, two hundred twenty million, twenty-three thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 389 439 500 520 650 778 878 1000 1300 1556 1625 1756 1945 2195 2600 3112 3250 3512 3890 4390 5057 5707 6500 7780 8780 9725 10114 10975 11414 13000 15560 17560 19450 20228 21950 22828 25285 28535 38900 40456 43900 45656 48625 50570 54875 57070 77800 87800 97250 101140 109750 114140 126425 142675 170771 194500 202280 219500 228280 252850 285350 341542 389000 439000 505700 570700 632125 683084 713375 853855 1011400 1141400 1264250 1366168 1426750 1707710 2220023 2528500 2853500 3415420 4269275 4440046 5057000 5707000 6830840 8538550 8880092 11100115 17077100 17760184 21346375 22200230 34154200 42692750 44400460 55500575 85385500 88800920 111001150 170771000 222002300 277502875 444004600 555005750 1110011500 2220023000