Search a number
-
+
30220224100 = 225211223349353
BaseRepresentation
bin11100001001010001…
…000000011001100100
32220000002200110001021
4130021101000121210
5443342334132400
621514420140524
72116612444423
oct341121003144
986002613037
1030220224100
11118a858a720
125a34837744
132b07bb0811
1416697b32ba
15bbd12a71a
hex709440664

30220224100 has 144 divisors (see below), whose sum is σ = 72270374400. Its totient is φ = 10877644800.

The previous prime is 30220224091. The next prime is 30220224113. The reversal of 30220224100 is 142202203.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85609524 + ... + 85609876.

It is an arithmetic number, because the mean of its divisors is an integer number (501877600).

Almost surely, 230220224100 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 30220224100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36135187200).

30220224100 is an abundant number, since it is smaller than the sum of its proper divisors (42050150300).

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

30220224100 is a wasteful number, since it uses less digits than its factorization.

30220224100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 30220224100 its reverse (142202203), we get a palindrome (30362426303).

The spelling of 30220224100 in words is "thirty billion, two hundred twenty million, two hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 223 275 349 353 446 550 698 706 892 1100 1115 1396 1412 1745 1765 2230 2453 3490 3530 3839 3883 4460 4906 5575 6980 7060 7678 7766 8725 8825 9812 11150 12265 15356 15532 17450 17650 19195 19415 22300 24530 34900 35300 38390 38830 49060 61325 76780 77660 77827 78719 95975 97075 122650 123197 155654 157438 191950 194150 245300 246394 311308 314876 383900 388300 389135 393595 492788 615985 778270 787190 856097 865909 1231970 1355167 1556540 1574380 1712194 1731818 1945675 1967975 2463940 2710334 3079925 3424388 3463636 3891350 3935950 4280485 4329545 5420668 6159850 6775835 7782700 7871900 8560970 8659090 12319700 13551670 17121940 17318180 21402425 21647725 27103340 27472931 33879175 42804850 43295450 54945862 67758350 85609700 86590900 109891724 135516700 137364655 274729310 302202241 549458620 604404482 686823275 1208808964 1373646550 1511011205 2747293100 3022022410 6044044820 7555056025 15110112050 30220224100