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228615000 = 2335415241
BaseRepresentation
bin11011010000001…
…10001101011000
3120221011211211020
431220012031120
5432011140000
634404002440
75444124015
oct1550061530
9527154736
10228615000
11108057919
1264690420
1338495a63
142251070c
151510cba0
hexda06358

228615000 has 80 divisors (see below), whose sum is σ = 714240120. Its totient is φ = 60960000.

The previous prime is 228614999. The next prime is 228615061. The reversal of 228615000 is 516822.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7380 + ... + 22620.

Almost surely, 2228615000 is an apocalyptic number.

228615000 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 228615000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357120060).

228615000 is an abundant number, since it is smaller than the sum of its proper divisors (485625120).

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

228615000 is a wasteful number, since it uses less digits than its factorization.

228615000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15270 (or 15251 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 228615000 is about 15120.0198412568. The cubic root of 228615000 is about 611.4602657333.

The spelling of 228615000 in words is "two hundred twenty-eight million, six hundred fifteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 625 750 1000 1250 1500 1875 2500 3000 3750 5000 7500 15000 15241 30482 45723 60964 76205 91446 121928 152410 182892 228615 304820 365784 381025 457230 609640 762050 914460 1143075 1524100 1828920 1905125 2286150 3048200 3810250 4572300 5715375 7620500 9144600 9525625 11430750 15241000 19051250 22861500 28576875 38102500 45723000 57153750 76205000 114307500 228615000