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1132014224 = 2411171919913
BaseRepresentation
bin100001101111001…
…0010101010010000
32220220002021120202
41003132102222100
54304243423344
6304154554332
740023651005
oct10336225220
92826067522
101132014224
11530aa1050
122771389a8
131506ac703
14aa4b38ac
15695ab94e
hex43792a90

1132014224 has 80 divisors (see below), whose sum is σ = 2666882880. Its totient is φ = 458772480.

The previous prime is 1132014211. The next prime is 1132014251. The reversal of 1132014224 is 4224102311.

It is a junction number, because it is equal to n+sod(n) for n = 1132014196 and 1132014205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46892 + ... + 66804.

It is an arithmetic number, because the mean of its divisors is an integer number (33336036).

Almost surely, 21132014224 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 1132014224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333441440).

1132014224 is an abundant number, since it is smaller than the sum of its proper divisors (1534868656).

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

1132014224 is a wasteful number, since it uses less digits than its factorization.

1132014224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19968 (or 19962 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1132014224 is about 33645.4190641163. The cubic root of 1132014224 is about 1042.1989420265.

Adding to 1132014224 its reverse (4224102311), we get a palindrome (5356116535).

The spelling of 1132014224 in words is "one billion, one hundred thirty-two million, fourteen thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 17 19 22 34 38 44 68 76 88 136 152 176 187 209 272 304 323 374 418 646 748 836 1292 1496 1672 2584 2992 3344 3553 5168 7106 14212 19913 28424 39826 56848 79652 159304 219043 318608 338521 378347 438086 677042 756694 876172 1354084 1513388 1752344 2708168 3026776 3504688 3723731 4161817 5416336 6053552 6431899 7447462 8323634 12863798 14894924 16647268 25727596 29789848 33294536 51455192 59579696 66589072 70750889 102910384 141501778 283003556 566007112 1132014224