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200264742 = 23267211787
BaseRepresentation
bin10111110111111…
…00110000100110
3111221211111120200
423323330300212
5402231432432
631512211330
74651136136
oct1373746046
9457744520
10200264742
11a3053957
1257099b46
133264a962
141c850ac6
15128aca7c
hexbefcc26

200264742 has 48 divisors (see below), whose sum is σ = 443032512. Its totient is φ = 65363760.

The previous prime is 200264741. The next prime is 200264747. The reversal of 200264742 is 247462002.

It is a happy number.

It is a super-3 number, since 3×2002647423 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200264741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 254073 + ... + 254859.

It is an arithmetic number, because the mean of its divisors is an integer number (9229844).

Almost surely, 2200264742 is an apocalyptic number.

200264742 is an abundant number, since it is smaller than the sum of its proper divisors (242767770).

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

200264742 is a wasteful number, since it uses less digits than its factorization.

200264742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 200264742 is about 14151.4925714569. The cubic root of 200264742 is about 585.0614706390.

The spelling of 200264742 in words is "two hundred million, two hundred sixty-four thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 18 67 134 201 211 402 422 603 633 787 1206 1266 1574 1899 2361 3798 4722 7083 14137 14166 28274 42411 52729 84822 105458 127233 158187 166057 254466 316374 332114 474561 498171 949122 996342 1494513 2989026 11125819 22251638 33377457 66754914 100132371 200264742