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228459936408 = 233112315943013
BaseRepresentation
bin1101010011000101000…
…1011111101010011000
3210211200202200020210020
43110301101133222120
512220341220431113
6252541505150440
722335310263354
oct3246121375230
9724622606706
10228459936408
1188986750700
123833a92b420
131870b605532
14b0b3b98464
155e21c8d023
hex353145fa98

228459936408 has 192 divisors, whose sum is σ = 659043302400. Its totient is φ = 65859974400.

The previous prime is 228459936407. The next prime is 228459936499. The reversal of 228459936408 is 804639954822.

228459936408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228459936407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5289910 + ... + 5332922.

It is an arithmetic number, because the mean of its divisors is an integer number (3432517200).

Almost surely, 2228459936408 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 228459936408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329521651200).

228459936408 is an abundant number, since it is smaller than the sum of its proper divisors (430583365992).

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

228459936408 is a wasteful number, since it uses less digits than its factorization.

228459936408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43134 (or 43119 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 60.

The spelling of 228459936408 in words is "two hundred twenty-eight billion, four hundred fifty-nine million, nine hundred thirty-six thousand, four hundred eight".