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1132144224 = 25329406661
BaseRepresentation
bin100001101111011…
…0010011001100000
32220220022212220120
41003132302121200
54304312103344
6304201440240
740025032011
oct10336623140
92826285816
101132144224
1153107a792
122771a0080
13150726933
14aa509008
15695d5219
hex437b2660

1132144224 has 48 divisors (see below), whose sum is σ = 3074364720. Its totient is φ = 364367360.

The previous prime is 1132144199. The next prime is 1132144271. The reversal of 1132144224 is 4224412311.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1132144194 and 1132144203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 200547 + ... + 206114.

It is an arithmetic number, because the mean of its divisors is an integer number (64049265).

Almost surely, 21132144224 is an apocalyptic number.

It is an amenable number.

1132144224 is an abundant number, since it is smaller than the sum of its proper divisors (1942220496).

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

1132144224 is a wasteful number, since it uses less digits than its factorization.

1132144224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406703 (or 406695 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 1132144224 is about 33647.3509209863. The cubic root of 1132144224 is about 1042.2388357174.

Adding to 1132144224 its reverse (4224412311), we get a palindrome (5356556535).

The spelling of 1132144224 in words is "one billion, one hundred thirty-two million, one hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 406661 813322 1219983 1626644 2439966 3253288 4879932 6506576 9759864 11793169 13013152 19519728 23586338 35379507 39039456 47172676 70759014 94345352 141518028 188690704 283036056 377381408 566072112 1132144224