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22100200000 = 2655110501
BaseRepresentation
bin10100100101010001…
…100100101001000000
32010001012102111000221
4110211101210221000
5330230122400000
614052551552424
71411443412654
oct244521445100
963035374027
1022100200000
119410a943aa
12434938b714
132112835828
1410d91c4a64
1589532261a
hex525464a40

22100200000 has 84 divisors (see below), whose sum is σ = 54815843124. Its totient is φ = 8840000000.

The previous prime is 22100199997. The next prime is 22100200007. The reversal of 22100200000 is 200122.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 14501939776 + 7598260224 = 120424^2 + 87168^2 .

It is not an unprimeable number, because it can be changed into a prime (22100200007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 144750 + ... + 255250.

It is an arithmetic number, because the mean of its divisors is an integer number (652569561).

Almost surely, 222100200000 is an apocalyptic number.

22100200000 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 22100200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27407921562).

22100200000 is an abundant number, since it is smaller than the sum of its proper divisors (32715643124).

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

22100200000 is an frugal number, since it uses more digits than its factorization.

22100200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110538 (or 110508 counting only the distinct ones).

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

Adding to 22100200000 its reverse (200122), we get a palindrome (22100400122).

The spelling of 22100200000 in words is "twenty-two billion, one hundred million, two hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3125 4000 5000 6250 8000 10000 12500 20000 25000 40000 50000 100000 110501 200000 221002 442004 552505 884008 1105010 1768016 2210020 2762525 3536032 4420040 5525050 7072064 8840080 11050100 13812625 17680160 22100200 27625250 35360320 44200400 55250500 69063125 88400800 110501000 138126250 176801600 221002000 276252500 345315625 442004000 552505000 690631250 884008000 1105010000 1381262500 2210020000 2762525000 4420040000 5525050000 11050100000 22100200000