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201332144 = 24137113633
BaseRepresentation
bin11000000000000…
…01010110110000
3112000211201210002
430000001112300
5403020112034
631551125132
74663203116
oct1400012660
9460751702
10201332144
11a3712902
12575137a8
1332932760
141ca4bab6
1512a1de7e
hexc0015b0

201332144 has 40 divisors (see below), whose sum is σ = 426035232. Its totient is φ = 91607040.

The previous prime is 201332141. The next prime is 201332171. The reversal of 201332144 is 441233102.

It is not an unprimeable number, because it can be changed into a prime (201332141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7952 + ... + 21584.

Almost surely, 2201332144 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 201332144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213017616).

201332144 is an abundant number, since it is smaller than the sum of its proper divisors (224703088).

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

201332144 is a wasteful number, since it uses less digits than its factorization.

201332144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13725 (or 13719 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 201332144 is about 14189.1558593174. The cubic root of 201332144 is about 586.0990797224.

Adding to 201332144 its reverse (441233102), we get a palindrome (642565246).

The spelling of 201332144 in words is "two hundred one million, three hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 71 104 142 208 284 568 923 1136 1846 3692 7384 13633 14768 27266 54532 109064 177229 218128 354458 708916 967943 1417832 1935886 2835664 3871772 7743544 12583259 15487088 25166518 50333036 100666072 201332144