Search a number
-
+
228204210024 = 2332721937101911
BaseRepresentation
bin1101010010001000000…
…1111110011101101000
3210211000221111000010200
43110202001332131220
512214330234210044
6252500252112200
722326053531400
oct3244201763550
9724027430120
10228204210024
118886536668a
1238289165660
131869a63954b
14b08bc2b800
155e095c7369
hex352207e768

228204210024 has 576 divisors, whose sum is σ = 785810937600. Its totient is φ = 59439744000.

The previous prime is 228204210019. The next prime is 228204210041. The reversal of 228204210024 is 420012402822.

228204210024 is a `hidden beast` number, since 228 + 204 + 210 + 0 + 24 = 666.

It is a super-2 number, since 2×2282042100242 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 228204210024.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 250498129 + ... + 250499039.

It is an arithmetic number, because the mean of its divisors is an integer number (1364255100).

Almost surely, 2228204210024 is an apocalyptic number.

228204210024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228204210024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392905468800).

228204210024 is an abundant number, since it is smaller than the sum of its proper divisors (557606727576).

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

228204210024 is a wasteful number, since it uses less digits than its factorization.

228204210024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 228204210024 its reverse (420012402822), we get a palindrome (648216612846).

The spelling of 228204210024 in words is "two hundred twenty-eight billion, two hundred four million, two hundred ten thousand, twenty-four".