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1106440224 = 253194314107
BaseRepresentation
bin100000111110010…
…1111000000100000
32212002221222122120
41001330233000200
54231222041344
6301442504240
736263405151
oct10174570040
92762858576
101106440224
11518613a0a
1226a665080
131482c7176
14a6d37928
1567209219
hex41f2f020

1106440224 has 96 divisors (see below), whose sum is σ = 3128590080. Its totient is φ = 341252352.

The previous prime is 1106440187. The next prime is 1106440253. The reversal of 1106440224 is 4220446011.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1106440194 and 1106440203.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71379 + ... + 85485.

It is an arithmetic number, because the mean of its divisors is an integer number (32589480).

Almost surely, 21106440224 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 1106440224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1564295040).

1106440224 is an abundant number, since it is smaller than the sum of its proper divisors (2022149856).

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

1106440224 is a wasteful number, since it uses less digits than its factorization.

1106440224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14182 (or 14174 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 1106440224 is about 33263.1962384856. The cubic root of 1106440224 is about 1034.2907769298.

Adding to 1106440224 its reverse (4220446011), we get a palindrome (5326886235).

It can be divided in two parts, 1106 and 440224, that added together give a triangular number (441330 = T939).

The spelling of 1106440224 in words is "one billion, one hundred six million, four hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 43 48 57 76 86 96 114 129 152 172 228 258 304 344 456 516 608 688 817 912 1032 1376 1634 1824 2064 2451 3268 4128 4902 6536 9804 13072 14107 19608 26144 28214 39216 42321 56428 78432 84642 112856 169284 225712 268033 338568 451424 536066 606601 677136 804099 1072132 1213202 1354272 1608198 1819803 2144264 2426404 3216396 3639606 4288528 4852808 6432792 7279212 8577056 9705616 11525419 12865584 14558424 19411232 23050838 25731168 29116848 34576257 46101676 58233696 69152514 92203352 138305028 184406704 276610056 368813408 553220112 1106440224