Search a number
-
+
30225311520 = 2535417919441
BaseRepresentation
bin11100001001100100…
…011010011100100000
32220000110020220200020
4130021210122130200
5443400134432040
621515121153440
72120003623515
oct341144323440
986013226606
1030225311520
11119004449a8
125a3648b880
132b08c72321
14166a33930c
15bbd7d2cd0
hex70991a720

30225311520 has 192 divisors, whose sum is σ = 98771581440. Its totient is φ = 7763558400.

The previous prime is 30225311513. The next prime is 30225311521. The reversal of 30225311520 is 2511352203.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (30225311521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1545000 + ... + 1564440.

It is an arithmetic number, because the mean of its divisors is an integer number (514435320).

Almost surely, 230225311520 is an apocalyptic number.

30225311520 is a gapful number since it is divisible by the number (30) 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 30225311520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49385790720).

30225311520 is an abundant number, since it is smaller than the sum of its proper divisors (68546269920).

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

30225311520 is a wasteful number, since it uses less digits than its factorization.

30225311520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19579 (or 19571 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

Adding to 30225311520 its reverse (2511352203), we get a palindrome (32736663723).

The spelling of 30225311520 in words is "thirty billion, two hundred twenty-five million, three hundred eleven thousand, five hundred twenty".