Search a number
-
+
1125416224 = 25295032411
BaseRepresentation
bin100001100010100…
…0111110100100000
32220102200001211101
41003011013310200
54301101304344
6303401324144
736613610602
oct10305076440
92812601741
101125416224
115282a4959
12274a96654
1314c20c47a
14a9677172
1568c069d4
hex43147d20

1125416224 has 48 divisors (see below), whose sum is σ = 2297574720. Its totient is φ = 541999360.

The previous prime is 1125416207. The next prime is 1125416231. The reversal of 1125416224 is 4226145211.

It is a junction number, because it is equal to n+sod(n) for n = 1125416192 and 1125416201.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 465579 + ... + 467989.

It is an arithmetic number, because the mean of its divisors is an integer number (47866140).

Almost surely, 21125416224 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 1125416224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148787360).

1125416224 is an abundant number, since it is smaller than the sum of its proper divisors (1172158496).

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

1125416224 is a wasteful number, since it uses less digits than its factorization.

1125416224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2953 (or 2945 counting only the distinct ones).

The product of its digits is 3840, while the sum is 28.

The square root of 1125416224 is about 33547.2237897564. The cubic root of 1125416224 is about 1040.1701595346.

The spelling of 1125416224 in words is "one billion, one hundred twenty-five million, four hundred sixteen thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 503 928 1006 2012 2411 4024 4822 8048 9644 14587 16096 19288 29174 38576 58348 69919 77152 116696 139838 233392 279676 466784 559352 1118704 1212733 2237408 2425466 4850932 9701864 19403728 35169257 38807456 70338514 140677028 281354056 562708112 1125416224