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30003222000 = 243537736469
BaseRepresentation
bin11011111100010101…
…001101010111110000
32212102222100121010110
4123330111031113300
5442421311101000
621441105101320
72111336115303
oct337425152760
985388317113
1030003222000
11117a7044844
125994027840
132aa1c527cb
141648a46b3a
15ba9063850
hex6fc54d5f0

30003222000 has 160 divisors (see below), whose sum is σ = 96870496320. Its totient is φ = 7989273600.

The previous prime is 30003221959. The next prime is 30003222019. The reversal of 30003222000 is 22230003.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4634766 + ... + 4641234.

It is an arithmetic number, because the mean of its divisors is an integer number (605440602).

Almost surely, 230003222000 is an apocalyptic number.

30003222000 is a gapful number since it is divisible by the number (30) 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 30003222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48435248160).

30003222000 is an abundant number, since it is smaller than the sum of its proper divisors (66867274320).

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

30003222000 is a wasteful number, since it uses less digits than its factorization.

30003222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7268 (or 7252 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

Adding to 30003222000 its reverse (22230003), we get a palindrome (30025452003).

The spelling of 30003222000 in words is "thirty billion, three million, two hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 773 1000 1200 1500 1546 2000 2319 3000 3092 3865 4638 6000 6184 6469 7730 9276 11595 12368 12938 15460 18552 19325 19407 23190 25876 30920 32345 37104 38650 38814 46380 51752 57975 61840 64690 77300 77628 92760 96625 97035 103504 115950 129380 154600 155256 161725 185520 193250 194070 231900 258760 289875 309200 310512 323450 386500 388140 463800 485175 517520 579750 646900 773000 776280 808625 927600 970350 1159500 1293800 1546000 1552560 1617250 1940700 2319000 2425875 2587600 3234500 3881400 4638000 4851750 5000537 6469000 7762800 9703500 10001074 12938000 15001611 19407000 20002148 25002685 30003222 38814000 40004296 50005370 60006444 75008055 80008592 100010740 120012888 125013425 150016110 200021480 240025776 250026850 300032220 375040275 400042960 500053700 600064440 625067125 750080550 1000107400 1200128880 1250134250 1500161100 1875201375 2000214800 2500268500 3000322200 3750402750 5000537000 6000644400 7500805500 10001074000 15001611000 30003222000