Search a number
-
+
228727000 = 23531271801
BaseRepresentation
bin11011010001000…
…01100011011000
3120221101112110101
431220201203120
5432023231000
634410225144
75445101365
oct1550414330
9527345411
10228727000
11108123a87
12647251b4
1338504a28
142253d46c
1515130e6a
hexda218d8

228727000 has 64 divisors (see below), whose sum is σ = 539735040. Its totient is φ = 90720000.

The previous prime is 228726989. The next prime is 228727033. The reversal of 228727000 is 727822.

It is a self number, because there is not a number n which added to its sum of digits gives 228727000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126100 + ... + 127900.

It is an arithmetic number, because the mean of its divisors is an integer number (8433360).

Almost surely, 2228727000 is an apocalyptic number.

228727000 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 228727000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269867520).

228727000 is an abundant number, since it is smaller than the sum of its proper divisors (311008040).

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

228727000 is a wasteful number, since it uses less digits than its factorization.

228727000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1949 (or 1935 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

The square root of 228727000 is about 15123.7230865948. The cubic root of 228727000 is about 611.5601022405.

The spelling of 228727000 in words is "two hundred twenty-eight million, seven hundred twenty-seven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 127 200 250 254 500 508 635 1000 1016 1270 1801 2540 3175 3602 5080 6350 7204 9005 12700 14408 15875 18010 25400 31750 36020 45025 63500 72040 90050 127000 180100 225125 228727 360200 450250 457454 900500 914908 1143635 1801000 1829816 2287270 4574540 5718175 9149080 11436350 22872700 28590875 45745400 57181750 114363500 228727000