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2231903968 = 25727136767
BaseRepresentation
bin1000010100001000…
…0010011011100000
312202112201110122221
42011002002123200
514032331411333
61005245240424
7106210604440
oct20502023340
95675643587
102231903968
11a45940538
12523563114
13297522148
141725c4120
15d0e1ed2d
hex850826e0

2231903968 has 48 divisors (see below), whose sum is σ = 5040451584. Its totient is φ = 952974720.

The previous prime is 2231903911. The next prime is 2231904011. The reversal of 2231903968 is 8693091322.

It is a super-3 number, since 3×22319039683 (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 7 ways as a sum of consecutive naturals, for example, 42321 + ... + 79087.

It is an arithmetic number, because the mean of its divisors is an integer number (105009408).

Almost surely, 22231903968 is an apocalyptic number.

2231903968 is a gapful number since it is divisible by the number (28) 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 2231903968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2520225792).

2231903968 is an abundant number, since it is smaller than the sum of its proper divisors (2808547616).

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

2231903968 is a wasteful number, since it uses less digits than its factorization.

2231903968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37055 (or 37047 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 43.

The square root of 2231903968 is about 47243.0308934556. The cubic root of 2231903968 is about 1306.8482724586.

The spelling of 2231903968 in words is "two billion, two hundred thirty-one million, nine hundred three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 271 542 1084 1897 2168 3794 4336 7588 8672 15176 30352 36767 60704 73534 147068 257369 294136 514738 588272 1029476 1176544 2058952 4117904 8235808 9963857 19927714 39855428 69746999 79710856 139493998 159421712 278987996 318843424 557975992 1115951984 2231903968