Search a number
-
+
1122345216 = 2832736673
BaseRepresentation
bin100001011100101…
…1010000100000000
32220012220001012100
41002321122010000
54244310021331
6303211430400
736545530326
oct10271320400
92805801170
101122345216
11526597633
12273a55400
1314b6a56c5
14a90b7d16
15687ebae6
hex42e5a100

1122345216 has 108 divisors (see below), whose sum is σ = 3280818268. Its totient is φ = 368934912.

The previous prime is 1122345167. The next prime is 1122345221. The reversal of 1122345216 is 6125432211.

1122345216 is a `hidden beast` number, since 112 + 23 + 4 + 521 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 279023616 + 843321600 = 16704^2 + 29040^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1122345216.

It is a congruent number.

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, 164856 + ... + 171528.

Almost surely, 21122345216 is an apocalyptic number.

1122345216 is a gapful number since it is divisible by the number (16) 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 1122345216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1640409134).

1122345216 is an abundant number, since it is smaller than the sum of its proper divisors (2158473052).

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

1122345216 is an equidigital number, since it uses as much as digits as its factorization.

1122345216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6768 (or 6751 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 1122345216 is about 33501.4211041860. The cubic root of 1122345216 is about 1039.2231674205.

Adding to 1122345216 its reverse (6125432211), we get a palindrome (7247777427).

The spelling of 1122345216 in words is "one billion, one hundred twenty-two million, three hundred forty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 73 96 128 144 146 192 219 256 288 292 384 438 576 584 657 768 876 1152 1168 1314 1752 2304 2336 2628 3504 4672 5256 6673 7008 9344 10512 13346 14016 18688 20019 21024 26692 28032 40038 42048 53384 56064 60057 80076 84096 106768 120114 160152 168192 213536 240228 320304 427072 480456 487129 640608 854144 960912 974258 1281216 1461387 1708288 1921824 1948516 2562432 2922774 3843648 3897032 4384161 5124864 5845548 7687296 7794064 8768322 11691096 15374592 15588128 17536644 23382192 31176256 35073288 46764384 62352512 70146576 93528768 124705024 140293152 187057536 280586304 374115072 561172608 1122345216