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228336080 = 24572311879
BaseRepresentation
bin11011001110000…
…10000111010000
3120220122200012212
431213002013100
5431423223310
634354011252
75441552600
oct1547020720
9526580185
10228336080
11107987305
1264576b28
13383c8b0b
142247ac00
15150a5205
hexd9c21d0

228336080 has 120 divisors (see below), whose sum is σ = 637816320. Its totient is φ = 75720960.

The previous prime is 228336079. The next prime is 228336103. The reversal of 228336080 is 80633822.

It is a happy number.

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, 120581 + ... + 122459.

It is an arithmetic number, because the mean of its divisors is an integer number (5315136).

Almost surely, 2228336080 is an apocalyptic number.

228336080 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 228336080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318908160).

228336080 is an abundant number, since it is smaller than the sum of its proper divisors (409480240).

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

228336080 is a wasteful number, since it uses less digits than its factorization.

228336080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1937 (or 1924 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 228336080 is about 15110.7934933941. The cubic root of 228336080 is about 611.2114953797.

The spelling of 228336080 in words is "two hundred twenty-eight million, three hundred thirty-six thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 40 49 56 62 70 80 98 112 124 140 155 196 217 245 248 280 310 392 434 490 496 560 620 784 868 980 1085 1240 1519 1736 1879 1960 2170 2480 3038 3472 3758 3920 4340 6076 7516 7595 8680 9395 12152 13153 15032 15190 17360 18790 24304 26306 30064 30380 37580 52612 58249 60760 65765 75160 92071 105224 116498 121520 131530 150320 184142 210448 232996 263060 291245 368284 407743 460355 465992 526120 582490 736568 815486 920710 931984 1052240 1164980 1473136 1630972 1841420 2038715 2329960 2854201 3261944 3682840 4077430 4659920 5708402 6523888 7365680 8154860 11416804 14271005 16309720 22833608 28542010 32619440 45667216 57084020 114168040 228336080