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214169928 = 233723431289
BaseRepresentation
bin11001100001111…
…11100101001000
3112220222221220120
430300333211020
5414311414203
633130223240
75210262060
oct1460774510
9486887816
10214169928
11aa991045
125b884b20
13354a8b8b
14206303a0
1513c07b53
hexcc3f948

214169928 has 128 divisors (see below), whose sum is σ = 653875200. Its totient is φ = 57125376.

The previous prime is 214169911. The next prime is 214169947. The reversal of 214169928 is 829961412.

214169928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 214169928.

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, 165508 + ... + 166796.

It is an arithmetic number, because the mean of its divisors is an integer number (5108400).

Almost surely, 2214169928 is an apocalyptic number.

214169928 is a gapful number since it is divisible by the number (28) 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 214169928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326937600).

214169928 is an abundant number, since it is smaller than the sum of its proper divisors (439705272).

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

214169928 is a wasteful number, since it uses less digits than its factorization.

214169928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1371 (or 1367 counting only the distinct ones).

The product of its digits is 62208, while the sum is 42.

The square root of 214169928 is about 14634.5457052824. The cubic root of 214169928 is about 598.3006806219.

The spelling of 214169928 in words is "two hundred fourteen million, one hundred sixty-nine thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 43 46 56 69 84 86 92 129 138 161 168 172 184 258 276 301 322 344 483 516 552 602 644 903 966 989 1032 1204 1288 1289 1806 1932 1978 2408 2578 2967 3612 3864 3867 3956 5156 5934 6923 7224 7734 7912 9023 10312 11868 13846 15468 18046 20769 23736 27069 27692 29647 30936 36092 41538 54138 55384 55427 59294 72184 83076 88941 108276 110854 118588 166152 166281 177882 207529 216552 221708 237176 332562 355764 387989 415058 443416 622587 665124 711528 775978 830116 1163967 1245174 1274821 1330248 1551956 1660232 2327934 2490348 2549642 3103912 3824463 4655868 4980696 5099284 7648926 8923747 9311736 10198568 15297852 17847494 26771241 30595704 35694988 53542482 71389976 107084964 214169928