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220112000000 = 2105613757
BaseRepresentation
bin1100110011111110110…
…0101001010000000000
3210001010222120010212022
43030333230221100000
512101242133000000
6245041300021012
721621403062344
oct3147754512000
9701128503768
10220112000000
1185392538502
12367ab091768
13179aac7c5a9
14a9211dd624
155ad3e65585
hex333fb29400

220112000000 has 154 divisors (see below), whose sum is σ = 550044248406. Its totient is φ = 88038400000.

The previous prime is 220111999999. The next prime is 220112000039. The reversal of 220112000000 is 211022.

It can be written as a sum of positive squares in 7 ways, for example, as 197932450816 + 22179549184 = 444896^2 + 148928^2 .

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 13 ways as a sum of consecutive naturals, for example, 15993122 + ... + 16006878.

Almost surely, 2220112000000 is an apocalyptic number.

220112000000 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 220112000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275022124203).

220112000000 is an abundant number, since it is smaller than the sum of its proper divisors (329932248406).

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

220112000000 is an frugal number, since it uses more digits than its factorization.

220112000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13807 (or 13764 counting only the distinct ones).

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

Adding to 220112000000 its reverse (211022), we get a palindrome (220112211022).

The spelling of 220112000000 in words is "two hundred twenty billion, one hundred twelve million", and thus it is an aban number.

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 1024 1250 1280 1600 2000 2500 2560 3125 3200 4000 5000 5120 6250 6400 8000 10000 12500 12800 13757 15625 16000 20000 25000 25600 27514 31250 32000 40000 50000 55028 62500 64000 68785 80000 100000 110056 125000 128000 137570 160000 200000 220112 250000 275140 320000 343925 400000 440224 500000 550280 640000 687850 800000 880448 1000000 1100560 1375700 1600000 1719625 1760896 2000000 2201120 2751400 3200000 3439250 3521792 4000000 4402240 5502800 6878500 7043584 8000000 8598125 8804480 11005600 13757000 14087168 16000000 17196250 17608960 22011200 27514000 34392500 35217920 42990625 44022400 55028000 68785000 70435840 85981250 88044800 110056000 137570000 171962500 176089600 214953125 220112000 275140000 343925000 352179200 429906250 440224000 550280000 687850000 859812500 880448000 1100560000 1375700000 1719625000 1760896000 2201120000 2751400000 3439250000 4402240000 5502800000 6878500000 8804480000 11005600000 13757000000 22011200000 27514000000 44022400000 55028000000 110056000000 220112000000