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203214144 = 2637151201
BaseRepresentation
bin11000001110011…
…00110101000000
3112011101100101210
430013030311000
5404010323034
632055330120
75015202030
oct1407146500
9464340353
10203214144
11a4788881
1258080940
1333141273
141cdbb8c0
1512c918e9
hexc1ccd40

203214144 has 56 divisors (see below), whose sum is σ = 614484928. Its totient is φ = 58060800.

The previous prime is 203214133. The next prime is 203214197. The reversal of 203214144 is 441412302.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 203214144.

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, 74257 + ... + 76944.

Almost surely, 2203214144 is an apocalyptic number.

203214144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

203214144 is an abundant number, since it is smaller than the sum of its proper divisors (411270784).

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

203214144 is a wasteful number, since it uses less digits than its factorization.

203214144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151223 (or 151213 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 203214144 is about 14255.3198490949. The cubic root of 203214144 is about 587.9196521246.

Adding to 203214144 its reverse (441412302), we get a palindrome (644626446).

The spelling of 203214144 in words is "two hundred three million, two hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 151201 302402 453603 604804 907206 1058407 1209608 1814412 2116814 2419216 3175221 3628824 4233628 4838432 6350442 7257648 8467256 9676864 12700884 14515296 16934512 25401768 29030592 33869024 50803536 67738048 101607072 203214144