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1122253344 = 253214892617
BaseRepresentation
bin100001011100100…
…0011101000100000
32220012201101011200
41002321003220200
54244244101334
6303205441200
736544665432
oct10271035040
92805641150
101122253344
11526534603
12273a10200
1314b672944
14a9092652
15687ce799
hex42e43a20

1122253344 has 72 divisors (see below), whose sum is σ = 3194771580. Its totient is φ = 373690368.

The previous prime is 1122253331. The next prime is 1122253369. The reversal of 1122253344 is 4433522211.

1122253344 is a `hidden beast` number, since 1 + 122 + 2 + 533 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1092963600 + 29289744 = 33060^2 + 5412^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 427524 + ... + 430140.

Almost surely, 21122253344 is an apocalyptic number.

It is an amenable number.

1122253344 is an abundant number, since it is smaller than the sum of its proper divisors (2072518236).

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

1122253344 is a wasteful number, since it uses less digits than its factorization.

1122253344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4122 (or 4111 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 1122253344 is about 33500.0499104106. The cubic root of 1122253344 is about 1039.1948106919.

Adding to 1122253344 its reverse (4433522211), we get a palindrome (5555775555).

The spelling of 1122253344 in words is "one billion, one hundred twenty-two million, two hundred fifty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1489 2617 2978 4467 5234 5956 7851 8934 10468 11912 13401 15702 17868 20936 23553 23824 26802 31404 35736 41872 47106 47648 53604 62808 71472 83744 94212 107208 125616 142944 188424 214416 251232 376848 428832 753696 3896713 7793426 11690139 15586852 23380278 31173704 35070417 46760556 62347408 70140834 93521112 124694816 140281668 187042224 280563336 374084448 561126672 1122253344