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214430010 = 235171922129
BaseRepresentation
bin11001100011111…
…11000100111010
3112221111011200020
430301333010322
5414343230020
633135551310
75212424244
oct1461770472
9487434606
10214430010
11100049493
125b98b536
133556a382
142069b094
1513c59c40
hexcc7f13a

214430010 has 64 divisors (see below), whose sum is σ = 573609600. Its totient is φ = 50982912.

The previous prime is 214429987. The next prime is 214430023. The reversal of 214430010 is 10034412.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

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, 1375 + ... + 20754.

It is an arithmetic number, because the mean of its divisors is an integer number (8962650).

Almost surely, 2214430010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214430010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286804800).

214430010 is an abundant number, since it is smaller than the sum of its proper divisors (359179590).

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

214430010 is a wasteful number, since it uses less digits than its factorization.

214430010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22175.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 214430010 is about 14643.4289017293. The cubic root of 214430010 is about 598.5427692182.

Adding to 214430010 its reverse (10034412), we get a palindrome (224464422).

The spelling of 214430010 in words is "two hundred fourteen million, four hundred thirty thousand, ten".

Divisors: 1 2 3 5 6 10 15 17 19 30 34 38 51 57 85 95 102 114 170 190 255 285 323 510 570 646 969 1615 1938 3230 4845 9690 22129 44258 66387 110645 132774 221290 331935 376193 420451 663870 752386 840902 1128579 1261353 1880965 2102255 2257158 2522706 3761930 4204510 5642895 6306765 7147667 11285790 12613530 14295334 21443001 35738335 42886002 71476670 107215005 214430010