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228348080 = 24517198837
BaseRepresentation
bin11011001110001…
…01000010110000
3120220200021200022
431213011002300
5431424114310
634354143012
75441632562
oct1547050260
9526607608
10228348080
11107995324
1264581a68
133840140c
1422481332
15150a8a55
hexd9c50b0

228348080 has 80 divisors (see below), whose sum is σ = 591792480. Its totient is φ = 81432576.

The previous prime is 228348079. The next prime is 228348091. The reversal of 228348080 is 80843822.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 228348080.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21422 + ... + 30258.

It is an arithmetic number, because the mean of its divisors is an integer number (7397406).

Almost surely, 2228348080 is an apocalyptic number.

228348080 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 228348080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295896240).

228348080 is an abundant number, since it is smaller than the sum of its proper divisors (363444400).

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

228348080 is a wasteful number, since it uses less digits than its factorization.

228348080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8886 (or 8880 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The square root of 228348080 is about 15111.1905553467. The cubic root of 228348080 is about 611.2222024180. Note that the first 4 decimals are identical.

The spelling of 228348080 in words is "two hundred twenty-eight million, three hundred forty-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 17 19 20 34 38 40 68 76 80 85 95 136 152 170 190 272 304 323 340 380 646 680 760 1292 1360 1520 1615 2584 3230 5168 6460 8837 12920 17674 25840 35348 44185 70696 88370 141392 150229 167903 176740 300458 335806 353480 600916 671612 706960 751145 839515 1201832 1343224 1502290 1679030 2403664 2686448 2854351 3004580 3358060 5708702 6009160 6716120 11417404 12018320 13432240 14271755 22834808 28543510 45669616 57087020 114174040 228348080