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200867968 = 277377383
BaseRepresentation
bin10111111100100…
…00000010000000
3111222222011001101
423332100002000
5402410233333
631533144144
74656230620
oct1376200200
9458864041
10200867968
11a3426094
125732b054
13327cc3b2
141c96a880
151297b67d
hexbf90080

200867968 has 128 divisors (see below), whose sum is σ = 481864320. Its totient is φ = 81616896.

The previous prime is 200867963. The next prime is 200867977. The reversal of 200867968 is 869768002.

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

It is not an unprimeable number, because it can be changed into a prime (200867963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2420055 + ... + 2420137.

It is an arithmetic number, because the mean of its divisors is an integer number (3764565).

Almost surely, 2200867968 is an apocalyptic number.

200867968 is a gapful number since it is divisible by the number (28) 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 200867968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240932160).

200867968 is an abundant number, since it is smaller than the sum of its proper divisors (280996352).

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

200867968 is an equidigital number, since it uses as much as digits as its factorization.

200867968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The square root of 200867968 is about 14172.7897042184. The cubic root of 200867968 is about 585.6483113815.

The spelling of 200867968 in words is "two hundred million, eight hundred sixty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 73 74 83 112 128 146 148 166 224 259 292 296 332 448 511 518 581 584 592 664 896 1022 1036 1162 1168 1184 1328 2044 2072 2324 2336 2368 2656 2701 3071 4088 4144 4648 4672 4736 5312 5402 6059 6142 8176 8288 9296 9344 10624 10804 12118 12284 16352 16576 18592 18907 21497 21608 24236 24568 32704 33152 37184 37814 42413 42994 43216 48472 49136 65408 74368 75628 84826 85988 86432 96944 98272 151256 169652 171976 172864 193888 196544 224183 302512 339304 343952 345728 387776 393088 448366 605024 678608 687904 775552 896732 1210048 1357216 1375808 1569281 1793464 2420096 2714432 2751616 3138562 3586928 5428864 6277124 7173856 12554248 14347712 25108496 28695424 50216992 100433984 200867968