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1143454224 = 2431129531409
BaseRepresentation
bin100010000100111…
…1011101000010000
32221200121111022110
41010021323220100
54320211013344
6305244105320
740223125533
oct10411735020
92850544273
101143454224
115374a50a0
1227ab35240
13152b86843
14abc10a1a
156a5bb3b9
hex4427ba10

1143454224 has 160 divisors (see below), whose sum is σ = 3398889600. Its totient is φ = 328007680.

The previous prime is 1143454217. The next prime is 1143454241. The reversal of 1143454224 is 4224543411.

It is a Cunningham number, because it is equal to 338152-1.

It is a junction number, because it is equal to n+sod(n) for n = 1143454191 and 1143454200.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 810832 + ... + 812240.

It is an arithmetic number, because the mean of its divisors is an integer number (21243060).

Almost surely, 21143454224 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 1143454224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1699444800).

1143454224 is an abundant number, since it is smaller than the sum of its proper divisors (2255435376).

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

1143454224 is a wasteful number, since it uses less digits than its factorization.

1143454224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1513 (or 1507 counting only the distinct ones).

The product of its digits is 15360, while the sum is 30.

The square root of 1143454224 is about 33814.9999852137. Note that the first 4 decimals coincide. The cubic root of 1143454224 is about 1045.6979606534.

Adding to 1143454224 its reverse (4224543411), we get a palindrome (5367997635).

The spelling of 1143454224 in words is "one billion, one hundred forty-three million, four hundred fifty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 33 44 48 53 58 66 87 88 106 116 132 159 174 176 212 232 264 318 319 348 424 464 528 583 636 638 696 848 957 1166 1272 1276 1392 1409 1537 1749 1914 2332 2544 2552 2818 3074 3498 3828 4227 4611 4664 5104 5636 6148 6996 7656 8454 9222 9328 11272 12296 13992 15312 15499 16907 16908 18444 22544 24592 27984 30998 33814 33816 36888 40861 46497 50721 61996 67628 67632 73776 74677 81722 92994 101442 122583 123992 135256 149354 163444 185988 202884 224031 245166 247984 270512 298708 326888 371976 405768 448062 449471 490332 597416 653776 743952 811536 821447 896124 898942 980664 1194832 1348413 1642894 1792248 1797884 1961328 2165633 2464341 2696826 3285788 3584496 3595768 4331266 4928682 5393652 6496899 6571576 7191536 8662532 9857364 10787304 12993798 13143152 17325064 19714728 21574608 23821963 25987596 34650128 39429456 47643926 51975192 71465889 95287852 103950384 142931778 190575704 285863556 381151408 571727112 1143454224