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228731040 = 253653753
BaseRepresentation
bin11011010001000…
…10100010100000
3120221101202000000
431220202202200
5432023343130
634410300000
75445116226
oct1550424240
9527352000
10228731040
1110812701a
1264727600
1338506815
1422540b16
1515132260
hexda228a0

228731040 has 336 divisors, whose sum is σ = 847792008. Its totient is φ = 58226688.

The previous prime is 228730993. The next prime is 228731053. The reversal of 228731040 is 40137822.

It can be written as a sum of positive squares in 4 ways, for example, as 225360144 + 3370896 = 15012^2 + 1836^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 228730995 and 228731013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4315654 + ... + 4315706.

Almost surely, 2228731040 is an apocalyptic number.

228731040 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 228731040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423896004).

228731040 is an abundant number, since it is smaller than the sum of its proper divisors (619060968).

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

228731040 is an equidigital number, since it uses as much as digits as its factorization.

228731040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 228731040 is about 15123.8566510001. The cubic root of 228731040 is about 611.5637028769.

Adding to 228731040 its reverse (40137822), we get a palindrome (268868862).

The spelling of 228731040 in words is "two hundred twenty-eight million, seven hundred thirty-one thousand, forty".