Search a number
-
+
220011200000 = 2955137507
BaseRepresentation
bin1100110011100110110…
…0000111111000000000
3210000212221212222020222
43030321230013320000
512101040331400000
6245023255322212
721616040225654
oct3147154077000
9700787788228
10220011200000
118534064aa19
1236781380368
1317993118917
14a911a80a64
155aca1a3a85
hex3339b07e00

220011200000 has 120 divisors (see below), whose sum is σ = 549459691704. Its totient is φ = 88003840000.

The previous prime is 220011199957. The next prime is 220011200023. The reversal of 220011200000 is 2110022.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1531247 + ... + 1668753.

Almost surely, 2220011200000 is an apocalyptic number.

220011200000 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 220011200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274729845852).

220011200000 is an abundant number, since it is smaller than the sum of its proper divisors (329448491704).

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

220011200000 is an frugal number, since it uses more digits than its factorization.

220011200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137550 (or 137514 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 220011200000 its reverse (2110022), we get a palindrome (220013310022).

The spelling of 220011200000 in words is "two hundred twenty billion, eleven million, two hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1250 1280 1600 2000 2500 2560 3125 3200 4000 5000 6250 6400 8000 10000 12500 12800 16000 20000 25000 32000 40000 50000 64000 80000 100000 137507 160000 200000 275014 320000 400000 550028 687535 800000 1100056 1375070 1600000 2200112 2750140 3437675 4400224 5500280 6875350 8800448 11000560 13750700 17188375 17600896 22001120 27501400 34376750 35201792 44002240 55002800 68753500 70403584 85941875 88004480 110005600 137507000 171883750 176008960 220011200 275014000 343767500 352017920 429709375 440022400 550028000 687535000 859418750 880044800 1100056000 1375070000 1718837500 1760089600 2200112000 2750140000 3437675000 4400224000 5500280000 6875350000 8800448000 11000560000 13750700000 22001120000 27501400000 44002240000 55002800000 110005600000 220011200000