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30222221130 = 23259719717573
BaseRepresentation
bin11100001001011000…
…100111111101001010
32220000020102220110100
4130021120213331022
5443343342034010
621514531030230
72116635432603
oct341130477512
986006386410
1030222221130
11118a9724062
125a3543b376
132b0842c7aa
141669b72daa
15bbd3c22c0
hex709627f4a

30222221130 has 96 divisors (see below), whose sum is σ = 79795379664. Its totient is φ = 7935234048.

The previous prime is 30222221069. The next prime is 30222221131. The reversal of 30222221130 is 3112222203.

It can be written as a sum of positive squares in 8 ways, for example, as 24301380321 + 5920840809 = 155889^2 + 76947^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (30222221131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1711024 + ... + 1728596.

Almost surely, 230222221130 is an apocalyptic number.

30222221130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30222221130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39897689832).

30222221130 is an abundant number, since it is smaller than the sum of its proper divisors (49573158534).

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

30222221130 is a wasteful number, since it uses less digits than its factorization.

30222221130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17880 (or 17877 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 30222221130 its reverse (3112222203), we get a palindrome (33334443333).

The spelling of 30222221130 in words is "thirty billion, two hundred twenty-two million, two hundred twenty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 97 194 197 291 394 485 582 591 873 970 985 1182 1455 1746 1773 1970 2910 2955 3546 4365 5910 8730 8865 17573 17730 19109 35146 38218 52719 57327 87865 95545 105438 114654 158157 171981 175730 191090 263595 286635 316314 343962 527190 573270 790785 859905 1581570 1704581 1719810 3409162 3461881 5113743 6923762 8522905 10227486 10385643 15341229 17045810 17309405 20771286 25568715 30682458 31156929 34618810 51137430 51928215 62313858 76706145 103856430 153412290 155784645 311569290 335802457 671604914 1007407371 1679012285 2014814742 3022222113 3358024570 5037036855 6044444226 10074073710 15111110565 30222221130