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2231030304 = 2534881977
BaseRepresentation
bin1000010011111010…
…1101001000100000
312202111002002020000
42010332231020200
514032120432204
61005214420000
7106200305346
oct20476551040
95674062200
102231030304
11a453a40a8
12523201600
132972a7599
14172437996
15d0ceb039
hex84fad220

2231030304 has 120 divisors (see below), whose sum is σ = 6575569308. Its totient is φ = 742072320.

The previous prime is 2231030279. The next prime is 2231030359. The reversal of 2231030304 is 4030301322.

2231030304 is a `hidden beast` number, since 22 + 310 + 30 + 304 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2213890704 + 17139600 = 47052^2 + 4140^2 .

It is a super-3 number, since 3×22310303043 (a number of 29 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2283064 + ... + 2284040.

Almost surely, 22231030304 is an apocalyptic number.

2231030304 is a gapful number since it is divisible by the number (24) 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 2231030304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3287784654).

2231030304 is an abundant number, since it is smaller than the sum of its proper divisors (4344539004).

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

2231030304 is an equidigital number, since it uses as much as digits as its factorization.

2231030304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1880 (or 1863 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2231030304 is about 47233.7835029124. The cubic root of 2231030304 is about 1306.6777311757.

Adding to 2231030304 its reverse (4030301322), we get a palindrome (6261331626).

The spelling of 2231030304 in words is "two billion, two hundred thirty-one million, thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 881 977 1296 1762 1954 2592 2643 2931 3524 3908 5286 5862 7048 7816 7929 8793 10572 11724 14096 15632 15858 17586 21144 23448 23787 26379 28192 31264 31716 35172 42288 46896 47574 52758 63432 70344 71361 79137 84576 93792 95148 105516 126864 140688 142722 158274 190296 211032 253728 281376 285444 316548 380592 422064 570888 633096 761184 844128 860737 1141776 1266192 1721474 2283552 2532384 2582211 3442948 5164422 6885896 7746633 10328844 13771792 15493266 20657688 23239899 27543584 30986532 41315376 46479798 61973064 69719697 82630752 92959596 123946128 139439394 185919192 247892256 278878788 371838384 557757576 743676768 1115515152 2231030304