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228388398 = 237192971139
BaseRepresentation
bin11011001110011…
…10111000101110
3120220202022222120
431213032320232
5431431412043
634355053410
75442161250
oct1547167056
9526668876
10228388398
11107a12647
12645a1266
1338416884
1422491cd0
15150b5983
hexd9cee2e

228388398 has 128 divisors (see below), whose sum is σ = 580608000. Its totient is φ = 58423680.

The previous prime is 228388373. The next prime is 228388403. The reversal of 228388398 is 893883822.

It is a super-2 number, since 2×2283883982 = 104322520682012808, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 228388398.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1643013 + ... + 1643151.

It is an arithmetic number, because the mean of its divisors is an integer number (4536000).

Almost surely, 2228388398 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228388398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290304000).

228388398 is an abundant number, since it is smaller than the sum of its proper divisors (352219602).

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

228388398 is a wasteful number, since it uses less digits than its factorization.

228388398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270.

The product of its digits is 1327104, while the sum is 51.

The square root of 228388398 is about 15112.5245409230. The cubic root of 228388398 is about 611.2581735350.

The spelling of 228388398 in words is "two hundred twenty-eight million, three hundred eighty-eight thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 7 14 19 21 29 38 42 57 58 71 87 114 133 139 142 174 203 213 266 278 399 406 417 426 497 551 609 798 834 973 994 1102 1218 1349 1491 1653 1946 2059 2641 2698 2919 2982 3306 3857 4031 4047 4118 5282 5838 6177 7714 7923 8062 8094 9443 9869 11571 12093 12354 14413 15846 18487 18886 19738 23142 24186 28217 28329 28826 29607 36974 39121 43239 55461 56434 56658 59214 69083 76589 78242 84651 86478 110922 117363 138166 153178 169302 187511 207249 229767 234726 273847 286201 375022 414498 459534 536123 547694 562533 572402 821541 858603 1072246 1125066 1312577 1608369 1643082 1717206 2003407 2625154 3216738 3937731 4006814 5437819 6010221 7875462 10875638 12020442 16313457 32626914 38064733 76129466 114194199 228388398