Search a number
-
+
2231013440 = 26519834421
BaseRepresentation
bin1000010011111010…
…1001000001000000
312202111001020002102
42010332221001000
514032114412230
61005214205532
7106200205235
oct20476510100
95674036072
102231013440
11a45392467
125231b38a8
1329729c9c6
1417243178c
15d0ce6045
hex84fa9040

2231013440 has 112 divisors (see below), whose sum is σ = 5660867520. Its totient is φ = 835061760.

The previous prime is 2231013439. The next prime is 2231013443. The reversal of 2231013440 is 443101322.

It is a super-3 number, since 3×22310134403 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2231013443) by changing a digit.

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, 502430 + ... + 506850.

It is an arithmetic number, because the mean of its divisors is an integer number (50543460).

Almost surely, 22231013440 is an apocalyptic number.

2231013440 is a gapful number since it is divisible by the number (20) 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 2231013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2830433760).

2231013440 is an abundant number, since it is smaller than the sum of its proper divisors (3429854080).

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

2231013440 is a wasteful number, since it uses less digits than its factorization.

2231013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4540 (or 4530 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2231013440 is about 47233.6049862807. The cubic root of 2231013440 is about 1306.6744388450.

Adding to 2231013440 its reverse (443101322), we get a palindrome (2674114762).

The spelling of 2231013440 in words is "two billion, two hundred thirty-one million, thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 83 95 152 160 166 190 304 320 332 380 415 608 664 760 830 1216 1328 1520 1577 1660 2656 3040 3154 3320 4421 5312 6080 6308 6640 7885 8842 12616 13280 15770 17684 22105 25232 26560 31540 35368 44210 50464 63080 70736 83999 88420 100928 126160 141472 167998 176840 252320 282944 335996 353680 366943 419995 504640 671992 707360 733886 839990 1343984 1414720 1467772 1679980 1834715 2687968 2935544 3359960 3669430 5375936 5871088 6719920 6971917 7338860 11742176 13439840 13943834 14677720 23484352 26879680 27887668 29355440 34859585 55775336 58710880 69719170 111550672 117421760 139438340 223101344 278876680 446202688 557753360 1115506720 2231013440