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2220541112000 = 2653461602099
BaseRepresentation
bin100000010100000010100…
…100000110111011000000
321212021121022212010211102
4200110002210012323000
5242340132011041000
64420034050233532
7316300036012001
oct40240244067300
97767538763742
102220541112000
117867a9628502
122ba4328858a8
1313151c3a8c93
1479690a711a8
153cb649573d5
hex20502906ec0

2220541112000 has 112 divisors (see below), whose sum is σ = 5511108002400. Its totient is φ = 886288256000.

The previous prime is 2220541111969. The next prime is 2220541112003. The reversal of 2220541112000 is 2111450222.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2220541112003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3386951 + ... + 3989049.

It is an arithmetic number, because the mean of its divisors is an integer number (49206321450).

Almost surely, 22220541112000 is an apocalyptic number.

2220541112000 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 2220541112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2755554001200).

2220541112000 is an abundant number, since it is smaller than the sum of its proper divisors (3290566890400).

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

2220541112000 is an equidigital number, since it uses as much as digits as its factorization.

2220541112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602587 (or 602567 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 2220541112000 its reverse (2111450222), we get a palindrome (2222652562222).

The spelling of 2220541112000 in words is "two trillion, two hundred twenty billion, five hundred forty-one million, one hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 461 500 800 922 1000 1600 1844 2000 2305 3688 4000 4610 7376 8000 9220 11525 14752 18440 23050 29504 36880 46100 57625 73760 92200 115250 147520 184400 230500 368800 461000 602099 737600 922000 1204198 1844000 2408396 3010495 3688000 4816792 6020990 9633584 12041980 15052475 19267168 24083960 30104950 38534336 48167920 60209900 75262375 96335840 120419800 150524750 192671680 240839600 277567639 301049500 481679200 555135278 602099000 963358400 1110270556 1204198000 1387838195 2220541112 2408396000 2775676390 4441082224 4816792000 5551352780 6939190975 8882164448 11102705560 13878381950 17764328896 22205411120 27756763900 34695954875 44410822240 55513527800 69391909750 88821644480 111027055600 138783819500 222054111200 277567639000 444108222400 555135278000 1110270556000 2220541112000