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200363064 = 2331141107173
BaseRepresentation
bin10111111000101…
…00110000111000
3111222000111110020
423330110300320
5402243104224
631514250440
74652025606
oct1374246070
9458014406
10200363064
11a3110810
1257126a20
1332683635
141c878876
15128cbc79
hexbf14c38

200363064 has 128 divisors (see below), whose sum is σ = 568270080. Its totient is φ = 58342400.

The previous prime is 200363057. The next prime is 200363077. The reversal of 200363064 is 460363002.

200363064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1158082 + ... + 1158254.

It is an arithmetic number, because the mean of its divisors is an integer number (4439610).

Almost surely, 2200363064 is an apocalyptic number.

200363064 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 200363064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284135040).

200363064 is an abundant number, since it is smaller than the sum of its proper divisors (367907016).

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

200363064 is a wasteful number, since it uses less digits than its factorization.

200363064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 200363064 is about 14154.9660543570. The cubic root of 200363064 is about 585.1572022554.

The spelling of 200363064 in words is "two hundred million, three hundred sixty-three thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 41 44 66 82 88 107 123 132 164 173 214 246 264 321 328 346 428 451 492 519 642 692 856 902 984 1038 1177 1284 1353 1384 1804 1903 2076 2354 2568 2706 3531 3608 3806 4152 4387 4708 5412 5709 7062 7093 7612 8774 9416 10824 11418 13161 14124 14186 15224 17548 18511 21279 22836 26322 28248 28372 35096 37022 42558 45672 48257 52644 55533 56744 74044 78023 85116 96514 105288 111066 144771 148088 156046 170232 193028 203621 222132 234069 289542 312092 386056 407242 444264 468138 579084 610863 624184 758951 814484 936276 1158168 1221726 1517902 1628968 1872552 2276853 2443452 3035804 4553706 4886904 6071608 8348461 9107412 16696922 18214824 25045383 33393844 50090766 66787688 100181532 200363064