Search a number
-
+
2231044128 = 25334754941
BaseRepresentation
bin1000010011111011…
…0000100000100000
312202111002210012000
42010332300200200
514032121403003
61005215004000
7106200363555
oct20476604040
95674083160
102231044128
11a45403525
12523209600
132972b0971
1417243ca2c
15d0d001a3
hex84fb0820

2231044128 has 96 divisors (see below), whose sum is σ = 6645784320. Its totient is φ = 727845120.

The previous prime is 2231044111. The next prime is 2231044139. The reversal of 2231044128 is 8214401322.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×22310441283 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13138 + ... + 68078.

It is an arithmetic number, because the mean of its divisors is an integer number (69226920).

Almost surely, 22231044128 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 2231044128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3322892160).

2231044128 is an abundant number, since it is smaller than the sum of its proper divisors (4414740192).

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

2231044128 is a wasteful number, since it uses less digits than its factorization.

2231044128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55007 (or 54993 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2231044128 is about 47233.9298386234. The cubic root of 2231044128 is about 1306.6804299999.

The spelling of 2231044128 in words is "two billion, two hundred thirty-one million, forty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 72 94 96 108 141 144 188 216 282 288 376 423 432 564 752 846 864 1128 1269 1504 1692 2256 2538 3384 4512 5076 6768 10152 13536 20304 40608 54941 109882 164823 219764 329646 439528 494469 659292 879056 988938 1318584 1483407 1758112 1977876 2582227 2637168 2966814 3955752 5164454 5274336 5933628 7746681 7911504 10328908 11867256 15493362 15823008 20657816 23240043 23734512 30986724 41315632 46480086 47469024 61973448 69720129 82631264 92960172 123946896 139440258 185920344 247893792 278880516 371840688 557761032 743681376 1115522064 2231044128