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214913024 = 21271739
BaseRepresentation
bin11001100111101…
…01000000000000
3112222101201020122
430303311000000
5420004204044
633154155412
75216505404
oct1463650000
9488351218
10214913024
11100349377
125bb82b68
13356a9191
1420785104
1513d02dee
hexccf5000

214913024 has 52 divisors (see below), whose sum is σ = 436416480. Its totient is φ = 105799680.

The previous prime is 214912993. The next prime is 214913029. The reversal of 214913024 is 420319412.

It is a junction number, because it is equal to n+sod(n) for n = 214912984 and 214913002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214913029) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 290447 + ... + 291185.

Almost surely, 2214913024 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 214913024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218208240).

214913024 is an abundant number, since it is smaller than the sum of its proper divisors (221503456).

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

214913024 is an frugal number, since it uses more digits than its factorization.

214913024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 214913024 is about 14659.9121416194. The cubic root of 214913024 is about 598.9918477379.

The spelling of 214913024 in words is "two hundred fourteen million, nine hundred thirteen thousand, twenty-four".

Divisors: 1 2 4 8 16 32 64 71 128 142 256 284 512 568 739 1024 1136 1478 2048 2272 2956 4096 4544 5912 9088 11824 18176 23648 36352 47296 52469 72704 94592 104938 145408 189184 209876 290816 378368 419752 756736 839504 1513472 1679008 3026944 3358016 6716032 13432064 26864128 53728256 107456512 214913024