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214235676736 = 2647212312
BaseRepresentation
bin1100011110000101110…
…0010000000001000000
3202110222110012222202221
43013201130100001000
512002223313123421
6242230222020424
721322650130504
oct3074134200100
9673873188687
10214235676736
11829474aa8a4
123562b117714
13172826c7133
14a5249c6304
15588d10c841
hex31e1710040

214235676736 has 63 divisors (see below), whose sum is σ = 434714700927. Its totient is φ = 104753569920.

The previous prime is 214235676713. The next prime is 214235676737. The reversal of 214235676736 is 637676532412.

The square root of 214235676736 is 462856.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×2142356767362 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (214235676737) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 174033241 + ... + 174034471.

Almost surely, 2214235676736 is an apocalyptic number.

214235676736 is the 462856-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214235676736

214235676736 is an abundant number, since it is smaller than the sum of its proper divisors (220479024191).

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

214235676736 is an frugal number, since it uses more digits than its factorization.

214235676736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2568 (or 1280 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 52.

The spelling of 214235676736 in words is "two hundred fourteen billion, two hundred thirty-five million, six hundred seventy-six thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 32 47 64 94 188 376 752 1231 1504 2209 2462 3008 4418 4924 8836 9848 17672 19696 35344 39392 57857 70688 78784 115714 141376 231428 462856 925712 1515361 1851424 2719279 3030722 3702848 5438558 6061444 10877116 12122888 21754232 24245776 43508464 48491552 71221967 87016928 96983104 142443934 174033856 284887868 569775736 1139551472 2279102944 3347432449 4558205888 6694864898 13389729796 26779459592 53558919184 107117838368 214235676736