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1122349968 = 243228127737
BaseRepresentation
bin100001011100101…
…1011001110010000
32220012220021201100
41002321123032100
54244310144333
6303211504400
736545550225
oct10271331620
92805807640
101122349968
115265a0163
12273a58100
1314b6a790c
14a90b994c
15687ed213
hex42e5b390

1122349968 has 60 divisors (see below), whose sum is σ = 3152312748. Its totient is φ = 372771840.

The previous prime is 1122349933. The next prime is 1122349997. The reversal of 1122349968 is 8699432211.

It can be written as a sum of positive squares in 2 ways, for example, as 884943504 + 237406464 = 29748^2 + 15408^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26596 + ... + 54332.

Almost surely, 21122349968 is an apocalyptic number.

1122349968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1122349968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1576156374).

1122349968 is an abundant number, since it is smaller than the sum of its proper divisors (2029962780).

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

1122349968 is a wasteful number, since it uses less digits than its factorization.

1122349968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28032 (or 28023 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 1122349968 is about 33501.4920264755. The cubic root of 1122349968 is about 1039.2246341057.

The spelling of 1122349968 in words is "one billion, one hundred twenty-two million, three hundred forty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 281 562 843 1124 1686 2248 2529 3372 4496 5058 6744 10116 13488 20232 27737 40464 55474 83211 110948 166422 221896 249633 332844 443792 499266 665688 998532 1331376 1997064 3994128 7794097 15588194 23382291 31176388 46764582 62352776 70146873 93529164 124705552 140293746 187058328 280587492 374116656 561174984 1122349968