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200458368 = 2733115273
BaseRepresentation
bin10111111001011…
…00000010000000
3111222012100012000
423330230002000
5402304131433
631520304000
74652603505
oct1374540200
9458170160
10200458368
11a3176380
1257172000
13326b7b26
141c8a14ac
15128ea113
hexbf2c080

200458368 has 128 divisors (see below), whose sum is σ = 645537600. Its totient is φ = 60733440.

The previous prime is 200458333. The next prime is 200458421. The reversal of 200458368 is 863854002.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35380 + ... + 40652.

Almost surely, 2200458368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200458368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322768800).

200458368 is an abundant number, since it is smaller than the sum of its proper divisors (445079232).

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

200458368 is a wasteful number, since it uses less digits than its factorization.

200458368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5307 (or 5289 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 200458368 is about 14158.3321051598. The cubic root of 200458368 is about 585.2499654975.

The spelling of 200458368 in words is "two hundred million, four hundred fifty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 264 288 297 352 384 396 432 528 576 594 704 792 864 1056 1152 1188 1408 1584 1728 2112 2376 3168 3456 4224 4752 5273 6336 9504 10546 12672 15819 19008 21092 31638 38016 42184 47457 58003 63276 84368 94914 116006 126552 142371 168736 174009 189828 232012 253104 284742 337472 348018 379656 464024 506208 522027 569484 674944 696036 759312 928048 1012416 1044054 1138968 1392072 1518624 1566081 1856096 2024832 2088108 2277936 2784144 3037248 3132162 3712192 4176216 4555872 5568288 6074496 6264324 7424384 8352432 9111744 11136576 12528648 16704864 18223488 22273152 25057296 33409728 50114592 66819456 100229184 200458368