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228951789990 = 235731119293671
BaseRepresentation
bin1101010100111010010…
…1110001000110100110
3210212222001012000001120
43111032211301012212
512222343124234430
6253102355234410
722353432051000
oct3251645610646
9725861160046
10228951789990
1189109353570
12384575a8a06
1318789497661
14b11d22d370
155e50047610
hex354e9711a6

228951789990 has 512 divisors, whose sum is σ = 761425920000. Its totient is φ = 43504473600.

The previous prime is 228951789953. The next prime is 228951789991. The reversal of 228951789990 is 99987159822.

228951789990 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 (228951789991) 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 255 ways as a sum of consecutive naturals, for example, 62365855 + ... + 62369525.

It is an arithmetic number, because the mean of its divisors is an integer number (1487160000).

Almost surely, 2228951789990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228951789990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380712960000).

228951789990 is an abundant number, since it is smaller than the sum of its proper divisors (532474130010).

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

228951789990 is a wasteful number, since it uses less digits than its factorization.

228951789990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3761 (or 3747 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 69.

The spelling of 228951789990 in words is "two hundred twenty-eight billion, nine hundred fifty-one million, seven hundred eighty-nine thousand, nine hundred ninety".