Search a number
-
+
2202225000 = 2335529363
BaseRepresentation
bin1000001101000011…
…0100100101101000
312200110212121202220
42003100310211220
514002232200000
61002305154040
7105400414023
oct20320644550
95613777686
102202225000
11a3010a268
1251562b920
13291330321
1416c69a1ba
15cd50b1a0
hex83434968

2202225000 has 96 divisors (see below), whose sum is σ = 6881747040. Its totient is φ = 587240000.

The previous prime is 2202224993. The next prime is 2202225023. The reversal of 2202225000 is 5222022.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60319 + ... + 89681.

It is an arithmetic number, because the mean of its divisors is an integer number (71684865).

Almost surely, 22202225000 is an apocalyptic number.

2202225000 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 2202225000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3440873520).

2202225000 is an abundant number, since it is smaller than the sum of its proper divisors (4679522040).

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

2202225000 is an equidigital number, since it uses as much as digits as its factorization.

2202225000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29397 (or 29373 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 2202225000 is about 46927.8701839323. The cubic root of 2202225000 is about 1301.0297560863.

Adding to 2202225000 its reverse (5222022), we get a palindrome (2207447022).

The spelling of 2202225000 in words is "two billion, two hundred two million, two hundred twenty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 625 750 1000 1250 1500 1875 2500 3000 3125 3750 5000 6250 7500 9375 12500 15000 18750 25000 29363 37500 58726 75000 88089 117452 146815 176178 234904 293630 352356 440445 587260 704712 734075 880890 1174520 1468150 1761780 2202225 2936300 3523560 3670375 4404450 5872600 7340750 8808900 11011125 14681500 17617800 18351875 22022250 29363000 36703750 44044500 55055625 73407500 88089000 91759375 110111250 146815000 183518750 220222500 275278125 367037500 440445000 550556250 734075000 1101112500 2202225000