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201314152 = 23132612441
BaseRepresentation
bin10111111111111…
…00111101101000
3112000210211002201
423333330331220
5403014023102
631550505544
74663066504
oct1377747550
9460724081
10201314152
11a3700336
12575052b4
1332927500
141ca45304
1512a18987
hexbffcf68

201314152 has 48 divisors (see below), whose sum is σ = 415603980. Its totient is φ = 91353600.

The previous prime is 201314131. The next prime is 201314167. The reversal of 201314152 is 251413102.

It can be written as a sum of positive squares in 6 ways, for example, as 4024036 + 197290116 = 2006^2 + 14046^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81252 + ... + 83692.

Almost surely, 2201314152 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 201314152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207801990).

201314152 is an abundant number, since it is smaller than the sum of its proper divisors (214289828).

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

201314152 is a wasteful number, since it uses less digits than its factorization.

201314152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2534 (or 2517 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 201314152 is about 14188.5218398535. The cubic root of 201314152 is about 586.0816203333.

Adding to 201314152 its reverse (251413102), we get a palindrome (452727254).

The spelling of 201314152 in words is "two hundred one million, three hundred fourteen thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 26 52 61 104 122 169 244 338 488 676 793 1352 1586 2441 3172 4882 6344 9764 10309 19528 20618 31733 41236 63466 82472 126932 148901 253864 297802 412529 595604 825058 1191208 1650116 1935713 3300232 3871426 7742852 15485704 25164269 50328538 100657076 201314152