Search a number
-
+
2231304444 = 22321928311527
BaseRepresentation
bin1000010011111111…
…0000000011111100
312202111121000021100
42010333300003330
514032203220234
61005224333100
7106202526525
oct20477600374
95674530240
102231304444
11a45571066
12523314190
132973722b5
141724a984c
15d0d52399
hex84ff00fc

2231304444 has 72 divisors (see below), whose sum is σ = 5958592640. Its totient is φ = 702071712.

The previous prime is 2231304437. The next prime is 2231304487. The reversal of 2231304444 is 4444031322.

It is a happy number.

2231304444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×22313044443 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 187809 + ... + 199335.

Almost surely, 22231304444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2231304444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2979296320).

2231304444 is an abundant number, since it is smaller than the sum of its proper divisors (3727288196).

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

2231304444 is a wasteful number, since it uses less digits than its factorization.

2231304444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11839 (or 11834 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 2231304444 is about 47236.6853621208. The cubic root of 2231304444 is about 1306.7312487458.

Adding to 2231304444 its reverse (4444031322), we get a palindrome (6675335766).

The spelling of 2231304444 in words is "two billion, two hundred thirty-one million, three hundred four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 283 342 566 684 849 1132 1698 2547 3396 5094 5377 10188 10754 11527 16131 21508 23054 32262 34581 46108 48393 64524 69162 96786 103743 138324 193572 207486 219013 414972 438026 657039 876052 1314078 1971117 2628156 3262141 3942234 6524282 7884468 9786423 13048564 19572846 29359269 39145692 58718538 61980679 117437076 123961358 185942037 247922716 371884074 557826111 743768148 1115652222 2231304444