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30442221200 = 2452411856233
BaseRepresentation
bin11100010110011111…
…110110111010010000
32220120120102001211002
4130112133312322100
5444321202034300
621552430241132
72125246416326
oct342637667220
986516361732
1030442221200
1111a019273a6
125a970561a8
132b41b9a251
14168b07dd16
15bd287c5d5
hex7167f6e90

30442221200 has 60 divisors (see below), whose sum is σ = 74921316708. Its totient is φ = 11879884800.

The previous prime is 30442221179. The next prime is 30442221203. The reversal of 30442221200 is 212224403.

It can be written as a sum of positive squares in 6 ways, for example, as 8123056384 + 22319164816 = 90128^2 + 149396^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (30442221203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 911717 + ... + 944516.

Almost surely, 230442221200 is an apocalyptic number.

It is an amenable number.

30442221200 is an abundant number, since it is smaller than the sum of its proper divisors (44479095508).

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

30442221200 is a wasteful number, since it uses less digits than its factorization.

30442221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1856292 (or 1856281 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 30442221200 its reverse (212224403), we get a palindrome (30654445603).

The spelling of 30442221200 in words is "thirty billion, four hundred forty-two million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 100 164 200 205 328 400 410 656 820 1025 1640 2050 3280 4100 8200 16400 1856233 3712466 7424932 9281165 14849864 18562330 29699728 37124660 46405825 74249320 76105553 92811650 148498640 152211106 185623300 304422212 371246600 380527765 608844424 742493200 761055530 1217688848 1522111060 1902638825 3044222120 3805277650 6088444240 7610555300 15221110600 30442221200