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200730624 = 211337883
BaseRepresentation
bin10111111011011…
…10100000000000
3111222201011122120
423331232200000
5402341334444
631530204240
74655116323
oct1375564000
9458634576
10200730624
11a3341986
1257283680
1332781a23
141c9327ba
1512950b19
hexbf6e800

200730624 has 96 divisors (see below), whose sum is σ = 550236960. Its totient is φ = 65028096.

The previous prime is 200730617. The next prime is 200730653. The reversal of 200730624 is 426037002.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2007306242 = 80585566822858752, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 200730594 and 200730603.

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 7 ways as a sum of consecutive naturals, for example, 226887 + ... + 227769.

It is an arithmetic number, because the mean of its divisors is an integer number (5731635).

Almost surely, 2200730624 is an apocalyptic number.

200730624 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 200730624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275118480).

200730624 is an abundant number, since it is smaller than the sum of its proper divisors (349506336).

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

200730624 is an equidigital number, since it uses as much as digits as its factorization.

200730624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 200730624 is about 14167.9435346136. The cubic root of 200730624 is about 585.5148014246.

Adding to 200730624 its reverse (426037002), we get a palindrome (626767626).

The spelling of 200730624 in words is "two hundred million, seven hundred thirty thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 296 384 444 512 592 768 883 888 1024 1184 1536 1766 1776 2048 2368 2649 3072 3532 3552 4736 5298 6144 7064 7104 9472 10596 14128 14208 18944 21192 28256 28416 32671 37888 42384 56512 56832 65342 75776 84768 98013 113024 113664 130684 169536 196026 226048 227328 261368 339072 392052 452096 522736 678144 784104 904192 1045472 1356288 1568208 1808384 2090944 2712576 3136416 4181888 5425152 6272832 8363776 12545664 16727552 25091328 33455104 50182656 66910208 100365312 200730624