Search a number
-
+
1133320232 = 23111729151173
BaseRepresentation
bin100001110001101…
…0001100000101000
32220222112122002102
41003203101200220
54310112221412
6304242552532
740041030422
oct10343214050
92828478072
101133320232
115318032a0
12277668748
13150a48cb5
14aa733812
15697688c2
hex438d1828

1133320232 has 128 divisors (see below), whose sum is σ = 2570745600. Its totient is φ = 462336000.

The previous prime is 1133320231. The next prime is 1133320271. The reversal of 1133320232 is 2320233311.

It is not an unprimeable number, because it can be changed into a prime (1133320231) 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 31 ways as a sum of consecutive naturals, for example, 6550898 + ... + 6551070.

It is an arithmetic number, because the mean of its divisors is an integer number (20083950).

Almost surely, 21133320232 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 1133320232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285372800).

1133320232 is an abundant number, since it is smaller than the sum of its proper divisors (1437425368).

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

1133320232 is a wasteful number, since it uses less digits than its factorization.

1133320232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 1133320232 is about 33664.8218768494. The cubic root of 1133320232 is about 1042.5995839442.

Adding to 1133320232 its reverse (2320233311), we get a palindrome (3453553543).

The spelling of 1133320232 in words is "one billion, one hundred thirty-three million, three hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 17 22 29 34 44 58 68 88 116 136 151 173 187 232 302 319 346 374 493 604 638 692 748 986 1208 1276 1384 1496 1661 1903 1972 2552 2567 2941 3322 3806 3944 4379 5017 5134 5423 5882 6644 7612 8758 10034 10268 10846 11764 13288 15224 17516 20068 20536 21692 23528 26123 28237 32351 35032 40136 43384 48169 52246 55187 56474 64702 74443 85289 96338 104492 110374 112948 129404 148886 170578 192676 208984 220748 225896 258808 287353 297772 341156 385352 441496 444091 574706 595544 682312 757567 818873 888182 938179 1149412 1515134 1637746 1776364 1876358 2298824 3030268 3275492 3552728 3752716 4885001 6060536 6550984 7505432 8333237 9770002 12878639 16666474 19540004 25757278 33332948 39080008 51514556 66665896 103029112 141665029 283330058 566660116 1133320232