Search a number
-
+
2231314032 = 24331432811
BaseRepresentation
bin1000010011111111…
…0010011001110000
312202111121111102110
42010333302121300
514032204022112
61005224445320
7106202566503
oct20477623160
95674544373
102231314032
11a45578292
12523319840
1329737677c
141724ad13a
15d0d5513c
hex84ff2670

2231314032 has 120 divisors (see below), whose sum is σ = 6099276288. Its totient is φ = 702172800.

The previous prime is 2231314021. The next prime is 2231314061. The reversal of 2231314032 is 2304131322.

2231314032 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 3×22313140323 (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, 2750907 + ... + 2751717.

Almost surely, 22231314032 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 2231314032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3049638144).

2231314032 is an abundant number, since it is smaller than the sum of its proper divisors (3867962256).

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

2231314032 is a wasteful number, since it uses less digits than its factorization.

2231314032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 2231314032 is about 47236.7868509280. The cubic root of 2231314032 is about 1306.7331204344.

Adding to 2231314032 its reverse (2304131322), we get a palindrome (4535445354).

The spelling of 2231314032 in words is "two billion, two hundred thirty-one million, three hundred fourteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 43 48 62 86 93 124 129 172 186 248 258 344 372 496 516 688 744 811 1032 1333 1488 1622 1849 2064 2433 2666 3244 3698 3999 4866 5332 5547 6488 7396 7998 9732 10664 11094 12976 14792 15996 19464 21328 22188 25141 29584 31992 34873 38928 44376 50282 57319 63984 69746 75423 88752 100564 104619 114638 139492 150846 171957 201128 209238 229276 278984 301692 343914 402256 418476 458552 557968 603384 687828 836952 917104 1081063 1206768 1375656 1499539 1673904 2162126 2751312 2999078 3243189 4324252 4498617 5998156 6486378 8648504 8997234 11996312 12972756 17297008 17994468 23992624 25945512 35988936 46485709 51891024 71977872 92971418 139457127 185942836 278914254 371885672 557828508 743771344 1115657016 2231314032