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201337668 = 223272311367
BaseRepresentation
bin11000000000000…
…10101101000100
3112000212000100200
430000002231010
5403020301133
631551210500
74663225200
oct1400025504
9460760320
10201337668
11a3716a74
1257516a30
133293511c
141ca4db00
1512a20913
hexc002b44

201337668 has 108 divisors (see below), whose sum is σ = 595550592. Its totient is φ = 57183840.

The previous prime is 201337667. The next prime is 201337673. The reversal of 201337668 is 866733102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (201337667) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 548421 + ... + 548787.

Almost surely, 2201337668 is an apocalyptic number.

201337668 is a gapful number since it is divisible by the number (28) 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 201337668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297775296).

201337668 is an abundant number, since it is smaller than the sum of its proper divisors (394212924).

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

201337668 is a wasteful number, since it uses less digits than its factorization.

201337668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 201337668 is about 14189.3505136775. The cubic root of 201337668 is about 586.1044399887.

The spelling of 201337668 in words is "two hundred one million, three hundred thirty-seven thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 311 367 441 588 622 734 882 933 1101 1244 1468 1764 1866 2177 2202 2569 2799 3303 3732 4354 4404 5138 5598 6531 6606 7707 8708 10276 11196 13062 13212 15239 15414 17983 19593 23121 26124 30478 30828 35966 39186 45717 46242 53949 60956 71932 78372 91434 92484 107898 114137 137151 161847 182868 215796 228274 274302 323694 342411 456548 548604 647388 684822 798959 1027233 1369644 1597918 2054466 2396877 3195836 4108932 4793754 5592713 7190631 9587508 11185426 14381262 16778139 22370852 28762524 33556278 50334417 67112556 100668834 201337668