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200630664 = 233213713019
BaseRepresentation
bin10111111010101…
…10000110001000
3111222112002112100
423331112012020
5402330140124
631524113400
74654222023
oct1375260610
9458462470
10200630664
11a3283873
1257235860
1332748390
141c9081ba
15129311c9
hexbf56188

200630664 has 96 divisors (see below), whose sum is σ = 593611200. Its totient is φ = 60842880.

The previous prime is 200630659. The next prime is 200630681. The reversal of 200630664 is 466036002.

200630664 is a `hidden beast` number, since 20 + 0 + 630 + 6 + 6 + 4 = 666.

200630664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64947 + ... + 67965.

It is an arithmetic number, because the mean of its divisors is an integer number (6183450).

Almost surely, 2200630664 is an apocalyptic number.

200630664 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 200630664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296805600).

200630664 is an abundant number, since it is smaller than the sum of its proper divisors (392980536).

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

200630664 is a wasteful number, since it uses less digits than its factorization.

200630664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3115 (or 3108 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 200630664 is about 14164.4154132813. The cubic root of 200630664 is about 585.4175935740.

Adding to 200630664 its reverse (466036002), we get a palindrome (666666666).

The spelling of 200630664 in words is "two hundred million, six hundred thirty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 71 72 78 104 117 142 156 213 234 284 312 426 468 568 639 852 923 936 1278 1704 1846 2556 2769 3019 3692 5112 5538 6038 7384 8307 9057 11076 12076 16614 18114 22152 24152 27171 33228 36228 39247 54342 66456 72456 78494 108684 117741 156988 214349 217368 235482 313976 353223 428698 470964 643047 706446 857396 941928 1286094 1412892 1714792 1929141 2572188 2786537 2825784 3858282 5144376 5573074 7716564 8359611 11146148 15433128 16719222 22292296 25078833 33438444 50157666 66876888 100315332 200630664