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224312433030 = 23357374374597
BaseRepresentation
bin1101000011101000010…
…0000001100110000110
3210102222201102020202000
43100322010001212012
512133342440324110
6251014145530130
722130446135650
oct3207204014606
9712881366660
10224312433030
118714857aa64
1237581943946
13181ca27a41a
14abdd0096d0
155c7cacd1c0
hex343a101986

224312433030 has 256 divisors, whose sum is σ = 718432450560. Its totient is φ = 48724913664.

The previous prime is 224312432977. The next prime is 224312433043. The reversal of 224312433030 is 30334213422.

224312433030 is a `hidden beast` number, since 2 + 2 + 4 + 312 + 43 + 303 + 0 = 666.

224312433030 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2243124330302 (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 224312432985 and 224312433003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2969692 + ... + 3044288.

It is an arithmetic number, because the mean of its divisors is an integer number (2806376760).

Almost surely, 2224312433030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224312433030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359216225280).

224312433030 is an abundant number, since it is smaller than the sum of its proper divisors (494120017530).

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

224312433030 is a wasteful number, since it uses less digits than its factorization.

224312433030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74700 (or 74694 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 224312433030 its reverse (30334213422), we get a palindrome (254646646452).

The spelling of 224312433030 in words is "two hundred twenty-four billion, three hundred twelve million, four hundred thirty-three thousand, thirty".