Search a number
-
+
1109225520 = 2432513176971
BaseRepresentation
bin100001000011101…
…0111000000110000
32212022012111100200
41002013113000300
54232430204040
6302022315200
736326155434
oct10207270060
92768174320
101109225520
1151a146607
1226b588b00
13148a60b80
14a74609c4
15675a9630
hex421d7030

1109225520 has 240 divisors, whose sum is σ = 4248290592. Its totient is φ = 256942080.

The previous prime is 1109225519. The next prime is 1109225527. The reversal of 1109225520 is 255229011.

1109225520 is a `hidden beast` number, since 1 + 109 + 2 + 2 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (1109225527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 155635 + ... + 162605.

Almost surely, 21109225520 is an apocalyptic number.

1109225520 is a gapful number since it is divisible by the number (10) 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 1109225520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2124145296).

1109225520 is an abundant number, since it is smaller than the sum of its proper divisors (3139065072).

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

1109225520 is a wasteful number, since it uses less digits than its factorization.

1109225520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7020 (or 7011 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 1109225520 is about 33305.0374568172. The cubic root of 1109225520 is about 1035.1579399105.

The spelling of 1109225520 in words is "one billion, one hundred nine million, two hundred twenty-five thousand, five hundred twenty".