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22002100000 = 2555220021
BaseRepresentation
bin10100011111011011…
…010110011100100000
32002210100211111010121
4110133123112130200
5330030014200000
614035125210024
71406142523066
oct243733263440
962710744117
1022002100000
119370680421
124320560914
1320c8408aaa
1410ca16a036
1588b8e5b1a
hex51f6d6720

22002100000 has 72 divisors (see below), whose sum is σ = 54142573716. Its totient is φ = 8800800000.

The previous prime is 22002099979. The next prime is 22002100013. The reversal of 22002100000 is 120022.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 934158096 + 21067941904 = 30564^2 + 145148^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10011 + ... + 210010.

Almost surely, 222002100000 is an apocalyptic number.

22002100000 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 22002100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27071286858).

22002100000 is an abundant number, since it is smaller than the sum of its proper divisors (32140473716).

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

22002100000 is an frugal number, since it uses more digits than its factorization.

22002100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220056 (or 220028 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 22002100000 its reverse (120022), we get a palindrome (22002220022).

The spelling of 22002100000 in words is "twenty-two billion, two million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 10000 12500 20000 25000 50000 100000 220021 440042 880084 1100105 1760168 2200210 3520336 4400420 5500525 7040672 8800840 11001050 17601680 22002100 27502625 35203360 44004200 55005250 88008400 110010500 137513125 176016800 220021000 275026250 440042000 550052500 687565625 880084000 1100105000 1375131250 2200210000 2750262500 4400420000 5500525000 11001050000 22002100000