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30328222500 = 223854432
BaseRepresentation
bin11100001111101100…
…111111001100100100
32220021121220100000000
4130033230333030210
5444103011110000
621533235021300
72122363431522
oct341754771444
986247810000
1030328222500
11119535444a4
125a64a3a830
132b24394ab4
141679c87312
15bc7860000
hex70fb3f324

30328222500 has 405 divisors, whose sum is σ = 101844814071. Its totient is φ = 7899444000.

The previous prime is 30328222481. The next prime is 30328222517. The reversal of 30328222500 is 522282303.

The square root of 30328222500 is 174150.

It is a perfect power (a square), and thus also a powerful number.

30328222500 is a `hidden beast` number, since 30 + 32 + 82 + 22 + 500 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2377732644 + 27950489856 = 48762^2 + 167184^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 705307479 + ... + 705307521.

Almost surely, 230328222500 is an apocalyptic number.

30328222500 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

30328222500 is the 174150-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30328222500

30328222500 is an abundant number, since it is smaller than the sum of its proper divisors (71516591571).

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

30328222500 is an frugal number, since it uses more digits than its factorization.

30328222500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 30328222500 in words is "thirty billion, three hundred twenty-eight million, two hundred twenty-two thousand, five hundred".