Search a number
-
+
228158840 = 235713193299
BaseRepresentation
bin11011001100101…
…10110101111000
3120220022200002102
431212112311320
5431402040330
634350122532
75440214060
oct1546266570
9526280072
10228158840
11107876128
12644b0448
1338366240
14224323a0
151506c945
hexd996d78

228158840 has 128 divisors (see below), whose sum is σ = 665280000. Its totient is φ = 68387328.

The previous prime is 228158831. The next prime is 228158851. The reversal of 228158840 is 48851822.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 228158794 and 228158803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67511 + ... + 70809.

It is an arithmetic number, because the mean of its divisors is an integer number (5197500).

Almost surely, 2228158840 is an apocalyptic number.

228158840 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 228158840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332640000).

228158840 is an abundant number, since it is smaller than the sum of its proper divisors (437121160).

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

228158840 is a wasteful number, since it uses less digits than its factorization.

228158840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3349 (or 3345 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 38.

The square root of 228158840 is about 15104.9276727828. The cubic root of 228158840 is about 611.0533087172.

The spelling of 228158840 in words is "two hundred twenty-eight million, one hundred fifty-eight thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 19 20 26 28 35 38 40 52 56 65 70 76 91 95 104 130 133 140 152 182 190 247 260 266 280 364 380 455 494 520 532 665 728 760 910 988 1064 1235 1330 1729 1820 1976 2470 2660 3299 3458 3640 4940 5320 6598 6916 8645 9880 13196 13832 16495 17290 23093 26392 32990 34580 42887 46186 62681 65980 69160 85774 92372 115465 125362 131960 171548 184744 214435 230930 250724 300209 313405 343096 428870 438767 461860 501448 600418 626810 814853 857740 877534 923720 1200836 1253620 1501045 1629706 1715480 1755068 2193835 2401672 2507240 3002090 3259412 3510136 4074265 4387670 5703971 6004180 6518824 8148530 8775340 11407942 12008360 16297060 17550680 22815884 28519855 32594120 45631768 57039710 114079420 228158840