Search a number
-
+
30223404288 = 283471123823
BaseRepresentation
bin11100001001011101…
…001000110100000000
32220000022200000110000
4130021131020310000
5443344142414123
621515012240000
72116651461210
oct341135106400
986008600400
1030223404288
11118aa361a80
125a35910000
132b0875519c
141669da0240
15bbd557b43
hex709748d00

30223404288 has 720 divisors, whose sum is σ = 117385906176. Its totient is φ = 7499796480.

The previous prime is 30223404259. The next prime is 30223404349. The reversal of 30223404288 is 88240432203.

It is a happy number.

30223404288 is a `hidden beast` number, since 3 + 0 + 223 + 4 + 0 + 428 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 36723045 + ... + 36723867.

Almost surely, 230223404288 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 30223404288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58692953088).

30223404288 is an abundant number, since it is smaller than the sum of its proper divisors (87162501888).

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

30223404288 is a wasteful number, since it uses less digits than its factorization.

30223404288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 30223404288 in words is "thirty billion, two hundred twenty-three million, four hundred four thousand, two hundred eighty-eight".