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228272121 = 33711591861
BaseRepresentation
bin11011001101100…
…10011111111001
3120220112102111000
431212302133321
5431414201441
634352355213
75441165250
oct1546623771
9526472430
10228272121
11107943250
1264545b09
13383a597c
1422461797
15150912b6
hexd9b27f9

228272121 has 64 divisors (see below), whose sum is σ = 429004800. Its totient is φ = 116510400.

The previous prime is 228272119. The next prime is 228272131. The reversal of 228272121 is 121272822.

It is not a de Polignac number, because 228272121 - 21 = 228272119 is a prime.

It is a super-2 number, since 2×2282721212 = 104216322451677282, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (228272131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 121731 + ... + 123591.

It is an arithmetic number, because the mean of its divisors is an integer number (6703200).

Almost surely, 2228272121 is an apocalyptic number.

228272121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

228272121 is a deficient number, since it is larger than the sum of its proper divisors (200732679).

228272121 is a wasteful number, since it uses less digits than its factorization.

228272121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1947 (or 1941 counting only the distinct ones).

The product of its digits is 1792, while the sum is 27.

The square root of 228272121 is about 15108.6770102481. The cubic root of 228272121 is about 611.1544214288.

The spelling of 228272121 in words is "two hundred twenty-eight million, two hundred seventy-two thousand, one hundred twenty-one".

Divisors: 1 3 7 9 11 21 27 33 59 63 77 99 177 189 231 297 413 531 649 693 1239 1593 1861 1947 2079 3717 4543 5583 5841 11151 13027 13629 16749 17523 20471 39081 40887 50247 61413 109799 117243 122661 143297 184239 329397 351729 429891 552717 768593 988191 1207789 1289673 2305779 2964573 3623367 3869019 6917337 8454523 10870101 20752011 25363569 32610303 76090707 228272121