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214552338 = 2371113139257
BaseRepresentation
bin11001100100111…
…00111100010010
3112221201101110220
430302130330102
5414411133323
633142333510
75213444010
oct1462347422
9487641426
10214552338
11100122390
125ba2a296
13355b0c60
14206cd8b0
1513c810e3
hexcc9cf12

214552338 has 128 divisors (see below), whose sum is σ = 582543360. Its totient is φ = 50872320.

The previous prime is 214552337. The next prime is 214552363. The reversal of 214552338 is 833255412.

214552338 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 (33).

It is a junction number, because it is equal to n+sod(n) for n = 214552299 and 214552308.

It is not an unprimeable number, because it can be changed into a prime (214552337) 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, 834706 + ... + 834962.

It is an arithmetic number, because the mean of its divisors is an integer number (4551120).

Almost surely, 2214552338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214552338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291271680).

214552338 is an abundant number, since it is smaller than the sum of its proper divisors (367991022).

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

214552338 is a wasteful number, since it uses less digits than its factorization.

214552338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432.

The product of its digits is 28800, while the sum is 33.

The square root of 214552338 is about 14647.6051967549. The cubic root of 214552338 is about 598.6565664444.

The spelling of 214552338 in words is "two hundred fourteen million, five hundred fifty-two thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 139 143 154 182 231 257 273 278 286 417 429 462 514 546 771 834 858 973 1001 1529 1542 1799 1807 1946 2002 2827 2919 3003 3058 3341 3598 3614 4587 5397 5421 5654 5838 6006 6682 8481 9174 10023 10703 10794 10842 12649 16962 19789 19877 20046 21406 23387 25298 32109 35723 36751 37947 39578 39754 46774 59367 59631 64218 70161 71446 73502 75894 107169 110253 118734 119262 139139 140322 214338 220506 250061 257257 278278 392953 417417 464399 500122 514514 750183 771771 785906 834834 928798 1178859 1393197 1500366 1543542 2357718 2750671 2786394 3250793 5108389 5501342 6501586 8252013 9752379 10216778 15325167 16504026 19504758 30650334 35758723 71517446 107276169 214552338