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228770048 = 2813531297
BaseRepresentation
bin11011010001011…
…00000100000000
3120221110201111202
431220230010000
5432031120143
634411200332
75445341033
oct1550540400
9527421452
10228770048
11108153361
12647460a8
133851b4c0
142255101a
151513dab8
hexda2c100

228770048 has 72 divisors (see below), whose sum is σ = 501438168. Its totient is φ = 103514112.

The previous prime is 228770021. The next prime is 228770057. The reversal of 228770048 is 840077822.

It can be written as a sum of positive squares in 4 ways, for example, as 89718784 + 139051264 = 9472^2 + 11792^2 .

It is a junction number, because it is equal to n+sod(n) for n = 228769993 and 228770020.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 175736 + ... + 177032.

It is an arithmetic number, because the mean of its divisors is an integer number (6964419).

Almost surely, 2228770048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228770048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250719084).

228770048 is an abundant number, since it is smaller than the sum of its proper divisors (272668120).

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

228770048 is a wasteful number, since it uses less digits than its factorization.

228770048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 38.

The square root of 228770048 is about 15125.1462141693. The cubic root of 228770048 is about 611.5984664445.

The spelling of 228770048 in words is "two hundred twenty-eight million, seven hundred seventy thousand, forty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 53 64 104 106 128 208 212 256 416 424 689 832 848 1297 1378 1664 1696 2594 2756 3328 3392 5188 5512 6784 10376 11024 13568 16861 20752 22048 33722 41504 44096 67444 68741 83008 88192 134888 137482 166016 176384 269776 274964 332032 539552 549928 893633 1079104 1099856 1787266 2158208 2199712 3574532 4316416 4399424 7149064 8798848 14298128 17597696 28596256 57192512 114385024 228770048