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222130000 = 245497229
BaseRepresentation
bin11010011110101…
…10111101010000
3120110222101002001
431033112331100
5423331130000
634013003344
75335034221
oct1517267520
9513871061
10222130000
11104428614
1262483554
1337035091
1421703248
151477b46a
hexd3d6f50

222130000 has 100 divisors (see below), whose sum is σ = 545715940. Its totient is φ = 87552000.

The previous prime is 222129989. The next prime is 222130001. The reversal of 222130000 is 31222.

It can be written as a sum of positive squares in 10 ways, for example, as 121969936 + 100160064 = 11044^2 + 10008^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222130001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 969886 + ... + 970114.

Almost surely, 2222130000 is an apocalyptic number.

222130000 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 222130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272857970).

222130000 is an abundant number, since it is smaller than the sum of its proper divisors (323585940).

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

222130000 is an equidigital number, since it uses as much as digits as its factorization.

222130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 222130000 is about 14904.0263016408. The cubic root of 222130000 is about 605.6230632343.

Adding to 222130000 its reverse (31222), we get a palindrome (222161222).

The spelling of 222130000 in words is "two hundred twenty-two million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 97 100 125 194 200 229 250 388 400 458 485 500 625 776 916 970 1000 1145 1250 1552 1832 1940 2000 2290 2425 2500 3664 3880 4580 4850 5000 5725 7760 9160 9700 10000 11450 12125 18320 19400 22213 22900 24250 28625 38800 44426 45800 48500 57250 60625 88852 91600 97000 111065 114500 121250 143125 177704 194000 222130 229000 242500 286250 355408 444260 458000 485000 555325 572500 888520 970000 1110650 1145000 1777040 2221300 2290000 2776625 4442600 5553250 8885200 11106500 13883125 22213000 27766250 44426000 55532500 111065000 222130000