Search a number
-
+
2231241320 = 2357114117669
BaseRepresentation
bin1000010011111110…
…0000101001101000
312202111110210200102
42010333200221220
514032144210240
61005223124532
7106202144510
oct20477405150
95674423612
102231241320
11a455286a0
125232a3748
1329734c649
14172490840
15d0d3d815
hex84fe0a68

2231241320 has 128 divisors (see below), whose sum is σ = 6412089600. Its totient is φ = 678451200.

The previous prime is 2231241289. The next prime is 2231241323. The reversal of 2231241320 is 231421322.

It is a super-3 number, since 3×22312413203 (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 a junction number, because it is equal to n+sod(n) for n = 2231241292 and 2231241301.

It is not an unprimeable number, because it can be changed into a prime (2231241323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117446 + ... + 135114.

It is an arithmetic number, because the mean of its divisors is an integer number (50094450).

Almost surely, 22231241320 is an apocalyptic number.

2231241320 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 2231241320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3206044800).

2231241320 is an abundant number, since it is smaller than the sum of its proper divisors (4180848280).

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

2231241320 is a wasteful number, since it uses less digits than its factorization.

2231241320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17739 (or 17735 counting only the distinct ones).

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

The square root of 2231241320 is about 47236.0171902755. The cubic root of 2231241320 is about 1306.7189260764.

Adding to 2231241320 its reverse (231421322), we get a palindrome (2462662642).

The spelling of 2231241320 in words is "two billion, two hundred thirty-one million, two hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 41 44 55 56 70 77 82 88 110 140 154 164 205 220 280 287 308 328 385 410 440 451 574 616 770 820 902 1148 1435 1540 1640 1804 2255 2296 2870 3080 3157 3608 4510 5740 6314 9020 11480 12628 15785 17669 18040 25256 31570 35338 63140 70676 88345 123683 126280 141352 176690 194359 247366 353380 388718 494732 618415 706760 724429 777436 971795 989464 1236830 1360513 1448858 1554872 1943590 2473660 2721026 2897716 3622145 3887180 4947320 5071003 5442052 5795432 6802565 7244290 7774360 7968719 10142006 10884104 13605130 14488580 15937438 20284012 25355015 27210260 28977160 31874876 39843595 40568024 50710030 54420520 55781033 63749752 79687190 101420060 111562066 159374380 202840120 223124132 278905165 318748760 446248264 557810330 1115620660 2231241320