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214300996 = 227133371747
BaseRepresentation
bin11001100010111…
…11100101000100
3112221020121200221
430301133211010
5414330112441
633133114124
75211346150
oct1461374504
9487217627
10214300996
11aaa70568
125b928944
1335523730
1420666060
1513c318d1
hexcc5f944

214300996 has 48 divisors (see below), whose sum is σ = 463206016. Its totient is φ = 84478464.

The previous prime is 214300979. The next prime is 214301029. The reversal of 214300996 is 699003412.

214300996 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121795 + ... + 123541.

Almost surely, 2214300996 is an apocalyptic number.

214300996 is a gapful number since it is divisible by the number (26) 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 214300996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231603008).

214300996 is an abundant number, since it is smaller than the sum of its proper divisors (248905020).

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

214300996 is a wasteful number, since it uses less digits than its factorization.

214300996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2108 (or 2106 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 214300996 is about 14639.0230548353. The cubic root of 214300996 is about 598.4227053509.

It can be divided in two parts, 214300 and 996, that added together give a square (215296 = 4642).

The spelling of 214300996 in words is "two hundred fourteen million, three hundred thousand, nine hundred ninety-six".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 337 364 674 1348 1747 2359 3494 4381 4718 6988 8762 9436 12229 17524 22711 24458 30667 45422 48916 61334 90844 122668 158977 317954 588739 635908 1177478 2354956 4121173 7653607 8242346 15307214 16484692 30614428 53575249 107150498 214300996