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228125000 = 235873
BaseRepresentation
bin11011001100011…
…10100101001000
3120220020221200002
431212032211020
5431400000000
634345302132
75440013315
oct1546164510
9526227602
10228125000
11107852764
1264494948
1338353a0c
1422423d0c
15150628d5
hexd98e948

228125000 has 72 divisors (see below), whose sum is σ = 541991910. Its totient is φ = 90000000.

The previous prime is 228124997. The next prime is 228125021. The reversal of 228125000 is 521822.

It can be written as a sum of positive squares in 9 ways, for example, as 223622116 + 4502884 = 14954^2 + 2122^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3124964 + ... + 3125036.

Almost surely, 2228125000 is an apocalyptic number.

228125000 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 228125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270995955).

228125000 is an abundant number, since it is smaller than the sum of its proper divisors (313866910).

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

228125000 is an frugal number, since it uses more digits than its factorization.

228125000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 228125000 is about 15103.8074669932. The cubic root of 228125000 is about 611.0230972114.

Adding to 228125000 its reverse (521822), we get a palindrome (228646822).

It can be divided in two parts, 2 and 28125000, that multiplied together give a square (56250000 = 75002).

The spelling of 228125000 in words is "two hundred twenty-eight million, one hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 125 146 200 250 292 365 500 584 625 730 1000 1250 1460 1825 2500 2920 3125 3650 5000 6250 7300 9125 12500 14600 15625 18250 25000 31250 36500 45625 62500 73000 78125 91250 125000 156250 182500 228125 312500 365000 390625 456250 625000 781250 912500 1140625 1562500 1825000 2281250 3125000 4562500 5703125 9125000 11406250 22812500 28515625 45625000 57031250 114062500 228125000