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226458042030 = 233511319725357
BaseRepresentation
bin1101001011100111110…
…0110111111010101110
3210122112020202110222000
43102321330313322232
512202241224321110
6252011113433130
722234561411533
oct3227174677256
9718466673860
10226458042030
118804972a840
1237a8040b7a6
131847c946b4c
14ad63d68d8a
155d561541c0
hex34b9f37eae

226458042030 has 256 divisors, whose sum is σ = 687076024320. Its totient is φ = 52578201600.

The previous prime is 226458041951. The next prime is 226458042071. The reversal of 226458042030 is 30240854622.

226458042030 is a `hidden beast` number, since 2 + 2 + 6 + 4 + 580 + 42 + 0 + 30 = 666.

It is a super-2 number, since 2×2264580420302 (a number of 24 digits) contains 22 as substring.

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, 8918112 + ... + 8943468.

It is an arithmetic number, because the mean of its divisors is an integer number (2683890720).

Almost surely, 2226458042030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226458042030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343538012160).

226458042030 is an abundant number, since it is smaller than the sum of its proper divisors (460617982290).

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

226458042030 is a wasteful number, since it uses less digits than its factorization.

226458042030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25512 (or 25506 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 226458042030 its reverse (30240854622), we get a palindrome (256698896652).

The spelling of 226458042030 in words is "two hundred twenty-six billion, four hundred fifty-eight million, forty-two thousand, thirty".