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200323464 = 2331153103139
BaseRepresentation
bin10111111000010…
…11000110001000
3111221221111010120
423330023012020
5402240322324
631513343240
74651502265
oct1374130610
9457844116
10200323464
11a3093a90
1257107b20
133266b5c3
141c86826c
15128c0179
hexbf0b188

200323464 has 128 divisors (see below), whose sum is σ = 566092800. Its totient is φ = 58556160.

The previous prime is 200323433. The next prime is 200323477. The reversal of 200323464 is 464323002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1441107 + ... + 1441245.

It is an arithmetic number, because the mean of its divisors is an integer number (4422600).

Almost surely, 2200323464 is an apocalyptic number.

200323464 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 200323464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283046400).

200323464 is an abundant number, since it is smaller than the sum of its proper divisors (365769336).

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

200323464 is a wasteful number, since it uses less digits than its factorization.

200323464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 200323464 is about 14153.5671828695. The cubic root of 200323464 is about 585.1186493214.

Adding to 200323464 its reverse (464323002), we get a palindrome (664646466).

The spelling of 200323464 in words is "two hundred million, three hundred twenty-three thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 53 66 88 103 106 132 139 159 206 212 264 278 309 318 412 417 424 556 583 618 636 824 834 1112 1133 1166 1236 1272 1529 1668 1749 2266 2332 2472 3058 3336 3399 3498 4532 4587 4664 5459 6116 6798 6996 7367 9064 9174 10918 12232 13596 13992 14317 14734 16377 18348 21836 22101 27192 28634 29468 32754 36696 42951 43672 44202 57268 58936 60049 65508 81037 85902 88404 114536 120098 131016 157487 162074 171804 176808 180147 240196 243111 314974 324148 343608 360294 472461 480392 486222 629948 648296 720588 758801 944922 972444 1259896 1441176 1517602 1889844 1944888 2276403 3035204 3779688 4552806 6070408 8346811 9105612 16693622 18211224 25040433 33387244 50080866 66774488 100161732 200323464