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228132333 = 3211131710427
BaseRepresentation
bin11011001100100…
…00010111101101
3120220021022201200
431212100113231
5431400213313
634345400113
75440043562
oct1546202755
9526238650
10228132333
11107858220
1264499039
1338357160
1422426869
1515064b73
hexd9905ed

228132333 has 48 divisors (see below), whose sum is σ = 409945536. Its totient is φ = 120107520.

The previous prime is 228132293. The next prime is 228132349. The reversal of 228132333 is 333231822.

It is not a de Polignac number, because 228132333 - 217 = 228001261 is a prime.

It is a super-2 number, since 2×2281323332 = 104088722720045778, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 228132297 and 228132306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228132353) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16666 + ... + 27092.

It is an arithmetic number, because the mean of its divisors is an integer number (8540532).

Almost surely, 2228132333 is an apocalyptic number.

It is an amenable number.

228132333 is a deficient number, since it is larger than the sum of its proper divisors (181813203).

228132333 is a wasteful number, since it uses less digits than its factorization.

228132333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10474 (or 10471 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 228132333 is about 15104.0502184017. The cubic root of 228132333 is about 611.0296441839.

The spelling of 228132333 in words is "two hundred twenty-eight million, one hundred thirty-two thousand, three hundred thirty-three".

Divisors: 1 3 9 11 13 17 33 39 51 99 117 143 153 187 221 429 561 663 1287 1683 1989 2431 7293 10427 21879 31281 93843 114697 135551 177259 344091 406653 531777 1032273 1219959 1491061 1595331 1949849 2304367 4473183 5849547 6913101 13419549 17548641 20739303 25348037 76044111 228132333