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1132330144 = 251129310979
BaseRepresentation
bin100001101111101…
…1111110010100000
32220220200022221111
41003133133302200
54304334031034
6304205433104
740026435031
oct10337376240
92826608844
101132330144
11531197440
1227726b794
1315079044a
14aa556a88
1569620364
hex437dfca0

1132330144 has 48 divisors (see below), whose sum is σ = 2440458720. Its totient is φ = 512892160.

The previous prime is 1132330141. The next prime is 1132330159. The reversal of 1132330144 is 4410332311.

It is a super-2 number, since 2×11323301442 = 2564343110022121472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (1132330141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97647 + ... + 108625.

It is an arithmetic number, because the mean of its divisors is an integer number (50842890).

Almost surely, 21132330144 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 1132330144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220229360).

1132330144 is an abundant number, since it is smaller than the sum of its proper divisors (1308128576).

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

1132330144 is a wasteful number, since it uses less digits than its factorization.

1132330144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11293 (or 11285 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 1132330144 is about 33650.1135807890. The cubic root of 1132330144 is about 1042.2958845262.

Adding to 1132330144 its reverse (4410332311), we get a palindrome (5542662455).

The spelling of 1132330144 in words is "one billion, one hundred thirty-two million, three hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 293 352 586 1172 2344 3223 4688 6446 9376 10979 12892 21958 25784 43916 51568 87832 103136 120769 175664 241538 351328 483076 966152 1932304 3216847 3864608 6433694 12867388 25734776 35385317 51469552 70770634 102939104 141541268 283082536 566165072 1132330144