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201203424 = 25321315333
BaseRepresentation
bin10111111111000…
…01111011100000
3112000121012012200
423333201323200
5403002002144
631544253200
74662125622
oct1377417340
9460535180
10201203424
11a3635124
1257471200
13328b8ca6
141ca16c12
15129e5c69
hexbfe1ee0

201203424 has 72 divisors (see below), whose sum is σ = 576648072. Its totient is φ = 66543360.

The previous prime is 201203419. The next prime is 201203459. The reversal of 201203424 is 424302102.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 201203397 and 201203406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35062 + ... + 40394.

It is an arithmetic number, because the mean of its divisors is an integer number (8009001).

Almost surely, 2201203424 is an apocalyptic number.

201203424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201203424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288324036).

201203424 is an abundant number, since it is smaller than the sum of its proper divisors (375444648).

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

201203424 is a wasteful number, since it uses less digits than its factorization.

201203424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5480 (or 5469 counting only the distinct ones).

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

The square root of 201203424 is about 14184.6192758213. The cubic root of 201203424 is about 585.9741472673.

Adding to 201203424 its reverse (424302102), we get a palindrome (625505526).

The spelling of 201203424 in words is "two hundred one million, two hundred three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 131 144 262 288 393 524 786 1048 1179 1572 2096 2358 3144 4192 4716 5333 6288 9432 10666 12576 15999 18864 21332 31998 37728 42664 47997 63996 85328 95994 127992 170656 191988 255984 383976 511968 698623 767952 1397246 1535904 2095869 2794492 4191738 5588984 6287607 8383476 11177968 12575214 16766952 22355936 25150428 33533904 50300856 67067808 100601712 201203424