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228133269 = 32721323061
BaseRepresentation
bin11011001100100…
…00100110010101
3120220021101000100
431212100212111
5431400231034
634345404313
75440046400
oct1546204625
9526241010
10228133269
111078589a1
1264499699
1338357700
1422426d37
1515065099
hexd990995

228133269 has 54 divisors (see below), whose sum is σ = 415216386. Its totient is φ = 120294720.

The previous prime is 228133267. The next prime is 228133303. The reversal of 228133269 is 962331822.

It can be written as a sum of positive squares in 3 ways, for example, as 18173169 + 209960100 = 4263^2 + 14490^2 .

It is not a de Polignac number, because 228133269 - 21 = 228133267 is a prime.

It is a super-2 number, since 2×2281332692 = 104089576849252722, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228133267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 72999 + ... + 76059.

Almost surely, 2228133269 is an apocalyptic number.

It is an amenable number.

228133269 is a deficient number, since it is larger than the sum of its proper divisors (187083117).

228133269 is a wasteful number, since it uses less digits than its factorization.

228133269 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3107 (or 3084 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 228133269 is about 15104.0812034364. The cubic root of 228133269 is about 611.0304798436.

The spelling of 228133269 in words is "two hundred twenty-eight million, one hundred thirty-three thousand, two hundred sixty-nine".

Divisors: 1 3 7 9 13 21 39 49 63 91 117 147 169 273 441 507 637 819 1183 1521 1911 3061 3549 5733 8281 9183 10647 21427 24843 27549 39793 64281 74529 119379 149989 192843 278551 358137 449967 517309 835653 1349901 1551927 1949857 2506959 3621163 4655781 5849571 10863489 17548713 25348141 32590467 76044423 228133269