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228145148 = 22711732139
BaseRepresentation
bin11011001100100…
…11011111111100
3120220021222022022
431212103133330
5431401121043
634345535312
75440126130
oct1546233774
9526258268
10228145148
11107866910
12644a4538
133835cc3a
142242b3c0
1515068868
hexd9937fc

228145148 has 72 divisors (see below), whose sum is σ = 508314240. Its totient is φ = 87039360.

The previous prime is 228145123. The next prime is 228145187. The reversal of 228145148 is 841541822.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1641263 + ... + 1641401.

It is an arithmetic number, because the mean of its divisors is an integer number (7059920).

Almost surely, 2228145148 is an apocalyptic number.

228145148 is a gapful number since it is divisible by the number (28) 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 228145148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254157120).

228145148 is an abundant number, since it is smaller than the sum of its proper divisors (280169092).

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

228145148 is a wasteful number, since it uses less digits than its factorization.

228145148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 232 counting only the distinct ones).

The product of its digits is 20480, while the sum is 35.

The square root of 228145148 is about 15104.4744364046. The cubic root of 228145148 is about 611.0410852018.

The spelling of 228145148 in words is "two hundred twenty-eight million, one hundred forty-five thousand, one hundred forty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 73 77 139 146 154 278 292 308 511 556 803 973 1022 1529 1606 1946 2044 3058 3212 3892 5329 5621 6116 10147 10658 10703 11242 20294 21316 21406 22484 37303 40588 42812 58619 71029 74606 111617 117238 142058 149212 223234 234476 284116 410333 446468 740731 781319 820666 1481462 1562638 1641332 2962924 3125276 5185117 8148041 10370234 16296082 20740468 32592164 57036287 114072574 228145148