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2231030032 = 247113315471
BaseRepresentation
bin1000010011111010…
…1101000100010000
312202111002001211221
42010332231010100
514032120430112
61005214414424
7106200304510
oct20476550420
95674061757
102231030032
11a453a3980
12523201414
132972a741a
14172437840
15d0ceae07
hex84fad110

2231030032 has 80 divisors (see below), whose sum is σ = 5406511104. Its totient is φ = 866448000.

The previous prime is 2231030023. The next prime is 2231030069. The reversal of 2231030032 is 2300301322.

It is a super-3 number, since 3×22310300323 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2231029988 and 2231030015.

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 15 ways as a sum of consecutive naturals, for example, 405057 + ... + 410527.

Almost surely, 22231030032 is an apocalyptic number.

2231030032 is a gapful number since it is divisible by the number (22) 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 2231030032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2703255552).

2231030032 is an abundant number, since it is smaller than the sum of its proper divisors (3175481072).

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

2231030032 is a wasteful number, since it uses less digits than its factorization.

2231030032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5828 (or 5822 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 2231030032 is about 47233.7806236172. The cubic root of 2231030032 is about 1306.6776780737.

Adding to 2231030032 its reverse (2300301322), we get a palindrome (4531331354).

The spelling of 2231030032 in words is "two billion, two hundred thirty-one million, thirty thousand, thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 331 616 662 1232 1324 2317 2648 3641 4634 5296 5471 7282 9268 10942 14564 18536 21884 25487 29128 37072 38297 43768 50974 58256 60181 76594 87536 101948 120362 153188 203896 240724 306376 407792 421267 481448 612752 842534 962896 1685068 1810901 3370136 3621802 6740272 7243604 12676307 14487208 19919911 25352614 28974416 39839822 50705228 79679644 101410456 139439377 159359288 202820912 278878754 318718576 557757508 1115515016 2231030032