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228753088 = 2617533967
BaseRepresentation
bin11011010001001…
…11111011000000
3120221102212020121
431220213323000
5432030044323
634410550024
75445240424
oct1550477300
9527385217
10228753088
11108141643
1264738314
1338513875
1422548b84
1515138a5d
hexda27ec0

228753088 has 56 divisors (see below), whose sum is σ = 489825792. Its totient is φ = 105590784.

The previous prime is 228753079. The next prime is 228753113. The reversal of 228753088 is 880357822.

228753088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

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, 55681 + ... + 59647.

Almost surely, 2228753088 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 228753088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244912896).

228753088 is an abundant number, since it is smaller than the sum of its proper divisors (261072704).

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

228753088 is a wasteful number, since it uses less digits than its factorization.

228753088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4049 (or 4039 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 43.

The square root of 228753088 is about 15124.5855480406. The cubic root of 228753088 is about 611.5833523355.

The spelling of 228753088 in words is "two hundred twenty-eight million, seven hundred fifty-three thousand, eighty-eight".

Divisors: 1 2 4 8 16 17 32 34 53 64 68 106 136 212 272 424 544 848 901 1088 1696 1802 3392 3604 3967 7208 7934 14416 15868 28832 31736 57664 63472 67439 126944 134878 210251 253888 269756 420502 539512 841004 1079024 1682008 2158048 3364016 3574267 4316096 6728032 7148534 13456064 14297068 28594136 57188272 114376544 228753088