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214003242 = 233171132063
BaseRepresentation
bin11001100000101…
…10111000101010
3112220200111021000
430300112320222
5414241100432
633122455430
75205666105
oct1460267052
9486614230
10214003242
11aa887892
125b804576
133544b04b
14205c973c
1513bc357c
hexcc16e2a

214003242 has 64 divisors (see below), whose sum is σ = 508239360. Its totient is φ = 66511872.

The previous prime is 214003211. The next prime is 214003291. The reversal of 214003242 is 242300412.

214003242 is a `hidden beast` number, since 21 + 400 + 3 + 242 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 31 ways as a sum of consecutive naturals, for example, 102703 + ... + 104765.

It is an arithmetic number, because the mean of its divisors is an integer number (7941240).

Almost surely, 2214003242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214003242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254119680).

214003242 is an abundant number, since it is smaller than the sum of its proper divisors (294236118).

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

214003242 is a wasteful number, since it uses less digits than its factorization.

214003242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2204 (or 2198 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 214003242 is about 14628.8496471869. The cubic root of 214003242 is about 598.1454234828.

Adding to 214003242 its reverse (242300412), we get a palindrome (456303654).

It can be divided in two parts, 21400 and 3242, that added together give a palindrome (24642).

The spelling of 214003242 in words is "two hundred fourteen million, three thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 113 153 226 306 339 459 678 918 1017 1921 2034 2063 3051 3842 4126 5763 6102 6189 11526 12378 17289 18567 34578 35071 37134 51867 55701 70142 103734 105213 111402 210426 233119 315639 466238 631278 699357 946917 1398714 1893834 2098071 3963023 4196142 6294213 7926046 11889069 12588426 23778138 35667207 71334414 107001621 214003242