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201201144 = 23353367431
BaseRepresentation
bin10111111111000…
…01010111111000
3112000121002002020
423333201113320
5403001414034
631544234440
74662116154
oct1377412770
9460532066
10201201144
11a3633441
125746ba20
13328b7c41
141ca16064
15129e5249
hexbfe15f8

201201144 has 64 divisors (see below), whose sum is σ = 515082240. Its totient is φ = 65470080.

The previous prime is 201201131. The next prime is 201201167. The reversal of 201201144 is 441102102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 466609 + ... + 467039.

It is an arithmetic number, because the mean of its divisors is an integer number (8048160).

Almost surely, 2201201144 is an apocalyptic number.

201201144 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 201201144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257541120).

201201144 is an abundant number, since it is smaller than the sum of its proper divisors (313881096).

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

201201144 is a wasteful number, since it uses less digits than its factorization.

201201144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 201201144 is about 14184.5389068521. The cubic root of 201201144 is about 585.9719338754.

Adding to 201201144 its reverse (441102102), we get a palindrome (642303246).

The spelling of 201201144 in words is "two hundred one million, two hundred one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 318 367 424 431 636 734 862 1101 1272 1293 1468 1724 2202 2586 2936 3448 4404 5172 8808 10344 19451 22843 38902 45686 58353 68529 77804 91372 116706 137058 155608 158177 182744 233412 274116 316354 466824 474531 548232 632708 949062 1265416 1898124 3796248 8383381 16766762 25150143 33533524 50300286 67067048 100600572 201201144