Search a number
-
+
220002201000 = 23325324444689
BaseRepresentation
bin1100110011100100100…
…1110010110110101000
3210000212022221202221200
43030321021302312220
512101031030413000
6245022334404200
721615600565551
oct3147111626650
9700768852850
10220002201000
118533656392a
123677a360660
13179912b787a
14a9107bb328
155ac94c7500
hex3339272da8

220002201000 has 96 divisors (see below), whose sum is σ = 743607469800. Its totient is φ = 58667251200.

The previous prime is 220002200989. The next prime is 220002201017. The reversal of 220002201000 is 102200022.

220002201000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 25642897956 + 194359303044 = 160134^2 + 440862^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12213345 + ... + 12231344.

Almost surely, 2220002201000 is an apocalyptic number.

220002201000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220002201000 is an abundant number, since it is smaller than the sum of its proper divisors (523605268800).

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

220002201000 is a wasteful number, since it uses less digits than its factorization.

220002201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24444716 (or 24444699 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 220002201000 its reverse (102200022), we get a palindrome (220104401022).

The spelling of 220002201000 in words is "two hundred twenty billion, two million, two hundred one thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 9000 24444689 48889378 73334067 97778756 122223445 146668134 195557512 220002201 244446890 293336268 366670335 440004402 488893780 586672536 611117225 733340670 880008804 977787560 1100011005 1222234450 1466681340 1760017608 1833351675 2200022010 2444468900 2933362680 3055586125 3666703350 4400044020 4888937800 5500055025 6111172250 7333406700 8800088040 9166758375 11000110050 12222344500 14666813400 18333516750 22000220100 24444689000 27500275125 36667033500 44000440200 55000550250 73334067000 110001100500 220002201000