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1148068224 = 273241109223
BaseRepresentation
bin100010001101110…
…0010000110000000
32222000021220112100
41010123202012000
54322401140344
6305531030400
740310263452
oct10433420600
92860256470
101148068224
1153a066716
1228059b400
13153b10a14
14ac6922d2
156abcd569
hex446e2180

1148068224 has 192 divisors, whose sum is σ = 3430627200. Its totient is φ = 368271360.

The previous prime is 1148068219. The next prime is 1148068237. The reversal of 1148068224 is 4228608411.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5148177 + ... + 5148399.

It is an arithmetic number, because the mean of its divisors is an integer number (17867850).

Almost surely, 21148068224 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 1148068224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1715313600).

1148068224 is an abundant number, since it is smaller than the sum of its proper divisors (2282558976).

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

1148068224 is a wasteful number, since it uses less digits than its factorization.

1148068224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 1148068224 is about 33883.1554610842. The cubic root of 1148068224 is about 1047.1025862596.

The spelling of 1148068224 in words is "one billion, one hundred forty-eight million, sixty-eight thousand, two hundred twenty-four".