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228255900 = 223526112473
BaseRepresentation
bin11011001101011…
…10100010011100
3120220111121020020
431212232202130
5431413142100
634352152140
75441100045
oct1546564234
9526447206
10228255900
11107932044
1264538650
133839b482
14224598cc
151508b5a0
hexd9ae89c

228255900 has 72 divisors (see below), whose sum is σ = 671300784. Its totient is φ = 59865600.

The previous prime is 228255899. The next prime is 228255959. The reversal of 228255900 is 9552822.

228255900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12064 + ... + 24536.

It is an arithmetic number, because the mean of its divisors is an integer number (9323622).

Almost surely, 2228255900 is an apocalyptic number.

228255900 is a gapful number since it is divisible by the number (20) 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 228255900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335650392).

228255900 is an abundant number, since it is smaller than the sum of its proper divisors (443044884).

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

228255900 is a wasteful number, since it uses less digits than its factorization.

228255900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12551 (or 12544 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 228255900 is about 15108.1401899771. The cubic root of 228255900 is about 611.1399448899.

The spelling of 228255900 in words is "two hundred twenty-eight million, two hundred fifty-five thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 61 75 100 122 150 183 244 300 305 366 610 732 915 1220 1525 1830 3050 3660 4575 6100 9150 12473 18300 24946 37419 49892 62365 74838 124730 149676 187095 249460 311825 374190 623650 748380 760853 935475 1247300 1521706 1870950 2282559 3043412 3741900 3804265 4565118 7608530 9130236 11412795 15217060 19021325 22825590 38042650 45651180 57063975 76085300 114127950 228255900