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214304442 = 23111372173
BaseRepresentation
bin11001100011000…
…00011010111010
3112221020210102120
430301200122322
5414330220232
633133142110
75211362202
oct1461403272
9487223376
10214304442
11aaa73110
125b92a936
1335525181
1420667402
1513c3292c
hexcc606ba

214304442 has 48 divisors (see below), whose sum is σ = 473733792. Its totient is φ = 64094080.

The previous prime is 214304437. The next prime is 214304459. The reversal of 214304442 is 244403412.

It is a happy number.

It is a nialpdrome in base 11.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1238668 + ... + 1238840.

It is an arithmetic number, because the mean of its divisors is an integer number (9869454).

Almost surely, 2214304442 is an apocalyptic number.

214304442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 214304442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236866896).

214304442 is an abundant number, since it is smaller than the sum of its proper divisors (259429350).

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

214304442 is a wasteful number, since it uses less digits than its factorization.

214304442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 214304442 is about 14639.1407534732. The cubic root of 214304442 is about 598.4259129166.

Adding to 214304442 its reverse (244403412), we get a palindrome (458707854).

The spelling of 214304442 in words is "two hundred fourteen million, three hundred four thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 137 173 274 346 411 519 822 1038 1507 1903 3014 3806 4521 5709 9042 11418 18769 23701 37538 47402 56307 71103 112614 142206 206459 260711 412918 521422 619377 782133 1238754 1564266 3247037 6494074 9741111 19482222 35717407 71434814 107152221 214304442