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30221321220 = 22325167896229
BaseRepresentation
bin11100001001010101…
…001100010000000100
32220000011202012000100
4130021111030100010
5443343124234340
621514455444100
72116624664136
oct341125142004
986004665010
1030221321220
11118a9169a32
125a35086630
132b081a5cbc
1416699bb056
15bbd295830
hex70954c404

30221321220 has 36 divisors (see below), whose sum is σ = 91671341580. Its totient is φ = 8059018944.

The previous prime is 30221321177. The next prime is 30221321233. The reversal of 30221321220 is 2212312203.

30221321220 is a `hidden beast` number, since 302 + 21 + 321 + 2 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14801642244 + 15419678976 = 121662^2 + 124176^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 30221321193 and 30221321202.

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, 83947935 + ... + 83948294.

It is an arithmetic number, because the mean of its divisors is an integer number (2546426155).

Almost surely, 230221321220 is an apocalyptic number.

30221321220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30221321220 is an abundant number, since it is smaller than the sum of its proper divisors (61450020360).

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

30221321220 is a wasteful number, since it uses less digits than its factorization.

30221321220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167896244 (or 167896239 counting only the distinct ones).

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

Adding to 30221321220 its reverse (2212312203), we get a palindrome (32433633423).

The spelling of 30221321220 in words is "thirty billion, two hundred twenty-one million, three hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 167896229 335792458 503688687 671584916 839481145 1007377374 1511066061 1678962290 2014754748 2518443435 3022132122 3357924580 5036886870 6044264244 7555330305 10073773740 15110660610 30221321220