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1122505248 = 253231274003
BaseRepresentation
bin100001011101000…
…0001001000100000
32220020012011201110
41002322001020200
54244330131443
6303215103320
736550065024
oct10272011040
92806164643
101122505248
11526696897
12273b11b40
1314b7304b7
14a911a384
156882e233
hex42e81220

1122505248 has 96 divisors (see below), whose sum is σ = 3099672576. Its totient is φ = 354993408.

The previous prime is 1122505229. The next prime is 1122505249. The reversal of 1122505248 is 8425052211.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (1122505249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 278415 + ... + 282417.

It is an arithmetic number, because the mean of its divisors is an integer number (32288256).

Almost surely, 21122505248 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 1122505248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549836288).

1122505248 is an abundant number, since it is smaller than the sum of its proper divisors (1977167328).

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

1122505248 is a wasteful number, since it uses less digits than its factorization.

1122505248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4166 (or 4158 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 1122505248 is about 33503.8094550456. The cubic root of 1122505248 is about 1039.2725583612.

Adding to 1122505248 its reverse (8425052211), we get a palindrome (9547557459).

The spelling of 1122505248 in words is "one billion, one hundred twenty-two million, five hundred five thousand, two hundred forty-eight".