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214471356 = 2231129179313
BaseRepresentation
bin11001100100010…
…01001010111100
3112221120021101120
430302021022330
5414401040411
633140510540
75212655631
oct1462111274
9487507346
10214471356
11100077560
125b9ab450
1335583138
14206ac188
1513c67106
hexcc892bc

214471356 has 96 divisors (see below), whose sum is σ = 569721600. Its totient is φ = 62200320.

The previous prime is 214471321. The next prime is 214471357. The reversal of 214471356 is 653174412.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214471357) 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 31 ways as a sum of consecutive naturals, for example, 685056 + ... + 685368.

It is an arithmetic number, because the mean of its divisors is an integer number (5934600).

Almost surely, 2214471356 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214471356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284860800).

214471356 is an abundant number, since it is smaller than the sum of its proper divisors (355250244).

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

214471356 is a wasteful number, since it uses less digits than its factorization.

214471356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 537 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 214471356 is about 14644.8405931919. The cubic root of 214471356 is about 598.5812367177.

The spelling of 214471356 in words is "two hundred fourteen million, four hundred seventy-one thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 179 313 319 348 358 537 626 638 716 939 957 1074 1252 1276 1878 1914 1969 2148 3443 3756 3828 3938 5191 5907 6886 7876 9077 10329 10382 11814 13772 15573 18154 20658 20764 23628 27231 31146 36308 41316 54462 56027 57101 62292 99847 108924 112054 114202 168081 171303 199694 224108 228404 299541 336162 342606 399388 599082 616297 672324 685212 1198164 1232594 1624783 1848891 2465188 3249566 3697782 4874349 6499132 7395564 9748698 17872613 19497396 35745226 53617839 71490452 107235678 214471356