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214442032 = 2472436361
BaseRepresentation
bin11001100100000…
…10000000110000
3112221111210011111
430302002000300
5414344121112
633140123104
75212504300
oct1462020060
9487453144
10214442032
11100057522
125b996494
133557299c
14206a1600
1513c5d5a7
hexcc82030

214442032 has 60 divisors (see below), whose sum is σ = 494632776. Its totient is φ = 89752320.

The previous prime is 214441993. The next prime is 214442057. The reversal of 214442032 is 230244412.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 214441994 and 214442012.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30532 + ... + 36892.

Almost surely, 2214442032 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 214442032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247316388).

214442032 is an abundant number, since it is smaller than the sum of its proper divisors (280190744).

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

214442032 is a wasteful number, since it uses less digits than its factorization.

214442032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6426 (or 6413 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 214442032 is about 14643.8393872645. The cubic root of 214442032 is about 598.5539547587.

Adding to 214442032 its reverse (230244412), we get a palindrome (444686444).

The spelling of 214442032 in words is "two hundred fourteen million, four hundred forty-two thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 43 49 56 86 98 112 172 196 301 344 392 602 688 784 1204 2107 2408 4214 4816 6361 8428 12722 16856 25444 33712 44527 50888 89054 101776 178108 273523 311689 356216 547046 623378 712432 1094092 1246756 1914661 2188184 2493512 3829322 4376368 4987024 7658644 13402627 15317288 26805254 30634576 53610508 107221016 214442032