Search a number
-
+
228380680 = 23511975351
BaseRepresentation
bin11011001110011…
…01000000001000
3120220201221101201
431213031000020
5431431140210
634354553544
75442126613
oct1547150010
9526657351
10228380680
11107a07870
12645988b4
13384131c8
142248d17a
15150b353a
hexd9cd008

228380680 has 64 divisors (see below), whose sum is σ = 566455680. Its totient is φ = 82176000.

The previous prime is 228380653. The next prime is 228380743. The reversal of 228380680 is 86083822.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40005 + ... + 45355.

It is an arithmetic number, because the mean of its divisors is an integer number (8850870).

Almost surely, 2228380680 is an apocalyptic number.

228380680 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 228380680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283227840).

228380680 is an abundant number, since it is smaller than the sum of its proper divisors (338075000).

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

228380680 is a wasteful number, since it uses less digits than its factorization.

228380680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5470 (or 5466 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 228380680 is about 15112.2691876501. The cubic root of 228380680 is about 611.2512879784.

The spelling of 228380680 in words is "two hundred twenty-eight million, three hundred eighty thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 97 110 194 220 388 440 485 776 970 1067 1940 2134 3880 4268 5335 5351 8536 10670 10702 21340 21404 26755 42680 42808 53510 58861 107020 117722 214040 235444 294305 470888 519047 588610 1038094 1177220 2076188 2354440 2595235 4152376 5190470 5709517 10380940 11419034 20761880 22838068 28547585 45676136 57095170 114190340 228380680