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214352992 = 2574212273
BaseRepresentation
bin11001100011011…
…00010001100000
3112221100021000201
430301230101200
5414333243432
633134154544
75211653560
oct1461542140
9487307021
10214352992
11aaaa6637
125b952a54
13355412b9
142067ada0
1513c41ee7
hexcc6c460

214352992 has 48 divisors (see below), whose sum is σ = 483652512. Its totient is φ = 91607040.

The previous prime is 214352981. The next prime is 214353011. The reversal of 214352992 is 299253412.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93168 + ... + 95440.

It is an arithmetic number, because the mean of its divisors is an integer number (10076094).

Almost surely, 2214352992 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 214352992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241826256).

214352992 is an abundant number, since it is smaller than the sum of its proper divisors (269299520).

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

214352992 is a wasteful number, since it uses less digits than its factorization.

214352992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2711 (or 2703 counting only the distinct ones).

The product of its digits is 38880, while the sum is 37.

The square root of 214352992 is about 14640.7988853068. The cubic root of 214352992 is about 598.4711000098.

The spelling of 214352992 in words is "two hundred fourteen million, three hundred fifty-two thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 421 842 1684 2273 2947 3368 4546 5894 6736 9092 11788 13472 15911 18184 23576 31822 36368 47152 63644 72736 94304 127288 254576 509152 956933 1913866 3827732 6698531 7655464 13397062 15310928 26794124 30621856 53588248 107176496 214352992