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1355112224 = 25194395077
BaseRepresentation
bin101000011000101…
…0101111100100000
310111102212211111122
41100301111330200
510233402042344
6342244431412
745403156334
oct12061257440
93442784448
101355112224
11635a1a964
123199a8568
1318799326b
14cbd897c4
157de79aee
hex50c55f20

1355112224 has 48 divisors (see below), whose sum is σ = 2815243200. Its totient is φ = 640306944.

The previous prime is 1355112221. The next prime is 1355112247. The reversal of 1355112224 is 4222115531.

It is a junction number, because it is equal to n+sod(n) for n = 1355112193 and 1355112202.

It is not an unprimeable number, because it can be changed into a prime (1355112221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 264374 + ... + 269450.

It is an arithmetic number, because the mean of its divisors is an integer number (58650900).

Almost surely, 21355112224 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 1355112224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407621600).

1355112224 is an abundant number, since it is smaller than the sum of its proper divisors (1460130976).

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

1355112224 is a wasteful number, since it uses less digits than its factorization.

1355112224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5545 (or 5537 counting only the distinct ones).

The product of its digits is 2400, while the sum is 26.

The square root of 1355112224 is about 36811.8489619851. The cubic root of 1355112224 is about 1106.6027733632.

Adding to 1355112224 its reverse (4222115531), we get a palindrome (5577227755).

The spelling of 1355112224 in words is "one billion, three hundred fifty-five million, one hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 439 608 878 1756 3512 5077 7024 8341 10154 14048 16682 20308 33364 40616 66728 81232 96463 133456 162464 192926 266912 385852 771704 1543408 2228803 3086816 4457606 8915212 17830424 35660848 42347257 71321696 84694514 169389028 338778056 677556112 1355112224