Search a number
-
+
30219224310 = 23351117319109
BaseRepresentation
bin11100001001001101…
…001100010011110110
32220000000210122121000
4130021031030103312
5443342110134220
621514342504130
72116601111532
oct341115142366
986000718530
1030219224310
11118a7a67550
125a34435046
132b07920722
1416695d2bc2
15bbcece390
hex70934c4f6

30219224310 has 512 divisors, whose sum is σ = 99221760000. Its totient is φ = 6472120320.

The previous prime is 30219224261. The next prime is 30219224353. The reversal of 30219224310 is 1342291203.

It is a happy number.

It is a super-2 number, since 2×302192243102 (a number of 22 digits) contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 277240536 + ... + 277240644.

It is an arithmetic number, because the mean of its divisors is an integer number (193792500).

Almost surely, 230219224310 is an apocalyptic number.

30219224310 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30219224310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49610880000).

30219224310 is an abundant number, since it is smaller than the sum of its proper divisors (69002535690).

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

30219224310 is a wasteful number, since it uses less digits than its factorization.

30219224310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 30219224310 in words is "thirty billion, two hundred nineteen million, two hundred twenty-four thousand, three hundred ten".