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30322210000 = 245413722133
BaseRepresentation
bin11100001111010110…
…000011010011010000
32220021012120212101211
4130033112003103100
5444044441210000
621532502105504
72122261350415
oct341726032320
986235525354
1030322210000
1111950108195
125a62a1b294
132b2306b1c4
14167916010c
15bc70737ba
hex70f5834d0

30322210000 has 100 divisors (see below), whose sum is σ = 73952305812. Its totient is φ = 12039808000.

The previous prime is 30322209971. The next prime is 30322210003. The reversal of 30322210000 is 1222303.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 22366997136 + 7955212864 = 149556^2 + 89192^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30322210003) 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, 1358934 + ... + 1381066.

Almost surely, 230322210000 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 30322210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36976152906).

30322210000 is an abundant number, since it is smaller than the sum of its proper divisors (43630095812).

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

30322210000 is a wasteful number, since it uses less digits than its factorization.

30322210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22298 (or 22277 counting only the distinct ones).

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

Adding to 30322210000 its reverse (1222303), we get a palindrome (30323432303).

The spelling of 30322210000 in words is "thirty billion, three hundred twenty-two million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 137 200 250 274 400 500 548 625 685 1000 1096 1250 1370 2000 2192 2500 2740 3425 5000 5480 6850 10000 10960 13700 17125 22133 27400 34250 44266 54800 68500 85625 88532 110665 137000 171250 177064 221330 274000 342500 354128 442660 553325 685000 885320 1106650 1370000 1770640 2213300 2766625 3032221 4426600 5533250 6064442 8853200 11066500 12128884 13833125 15161105 22133000 24257768 27666250 30322210 44266000 48515536 55332500 60644420 75805525 110665000 121288840 151611050 221330000 242577680 303222100 379027625 606444200 758055250 1212888400 1516110500 1895138125 3032221000 3790276250 6064442000 7580552500 15161105000 30322210000