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30003221200 = 245280992717
BaseRepresentation
bin11011111100010101…
…001101001011010000
32212102222100120000211
4123330111031023100
5442421311034300
621441105053504
72111336113051
oct337425151320
985388316024
1030003221200
11117a7044187
125994027294
132aa1c52334
141648a46728
15ba90634ba
hex6fc54d2d0

30003221200 has 60 divisors (see below), whose sum is σ = 72172618380. Its totient is φ = 11986324480.

The previous prime is 30003221191. The next prime is 30003221279. The reversal of 30003221200 is 212230003.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2882401344 + 27120819856 = 53688^2 + 164684^2 .

It is a super-2 number, since 2×300032212002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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, 277242 + ... + 369958.

It is an arithmetic number, because the mean of its divisors is an integer number (1202876973).

Almost surely, 230003221200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30003221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36086309190).

30003221200 is an abundant number, since it is smaller than the sum of its proper divisors (42169397180).

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

30003221200 is a wasteful number, since it uses less digits than its factorization.

30003221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93544 (or 93533 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 30003221200 its reverse (212230003), we get a palindrome (30215451203).

The spelling of 30003221200 in words is "thirty billion, three million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 809 1618 3236 4045 6472 8090 12944 16180 20225 32360 40450 64720 80900 92717 161800 185434 323600 370868 463585 741736 927170 1483472 1854340 2317925 3708680 4635850 7417360 9271700 18543400 37086800 75008053 150016106 300032212 375040265 600064424 750080530 1200128848 1500161060 1875201325 3000322120 3750402650 6000644240 7500805300 15001610600 30003221200