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201335442 = 237112631657
BaseRepresentation
bin11000000000000…
…10001010010010
3112000211220022020
430000002022102
5403020213232
631551152310
74663215540
oct1400021222
9460756266
10201335442
11a3715330
1257515696
13329340c9
141ca4cd90
1512a1ee2c
hexc002292

201335442 has 64 divisors (see below), whose sum is σ = 504244224. Its totient is φ = 52064640.

The previous prime is 201335411. The next prime is 201335443. The reversal of 201335442 is 244533102.

It is not an unprimeable number, because it can be changed into a prime (201335443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120678 + ... + 122334.

It is an arithmetic number, because the mean of its divisors is an integer number (7878816).

Almost surely, 2201335442 is an apocalyptic number.

201335442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 201335442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252122112).

201335442 is an abundant number, since it is smaller than the sum of its proper divisors (302908782).

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

201335442 is a wasteful number, since it uses less digits than its factorization.

201335442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1943.

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 201335442 is about 14189.2720743525. The cubic root of 201335442 is about 586.1022799801.

Adding to 201335442 its reverse (244533102), we get a palindrome (445868544).

The spelling of 201335442 in words is "two hundred one million, three hundred thirty-five thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 263 462 526 789 1578 1657 1841 2893 3314 3682 4971 5523 5786 8679 9942 11046 11599 17358 18227 20251 23198 34797 36454 40502 54681 60753 69594 109362 121506 127589 255178 382767 435791 765534 871582 1307373 2614746 3050537 4793701 6101074 9151611 9587402 14381103 18303222 28762206 33555907 67111814 100667721 201335442