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200168440 = 23529434013
BaseRepresentation
bin10111110111001…
…01001111111000
3111221122121110221
423323211033320
5402220342230
631510145424
74650255313
oct1373451770
9457577427
10200168440
11a2a9856a
1257052274
1332615b84
141c82797a
151288e27a
hexbee53f8

200168440 has 64 divisors (see below), whose sum is σ = 476863200. Its totient is φ = 75489792.

The previous prime is 200168417. The next prime is 200168467. The reversal of 200168440 is 44861002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47874 + ... + 51886.

Almost surely, 2200168440 is an apocalyptic number.

200168440 is a gapful number since it is divisible by the number (20) 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 200168440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238431600).

200168440 is an abundant number, since it is smaller than the sum of its proper divisors (276694760).

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

200168440 is a wasteful number, since it uses less digits than its factorization.

200168440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4096 (or 4092 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 200168440 is about 14148.0896236912. The cubic root of 200168440 is about 584.9676754243.

The spelling of 200168440 in words is "two hundred million, one hundred sixty-eight thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 43 58 86 116 145 172 215 232 290 344 430 580 860 1160 1247 1720 2494 4013 4988 6235 8026 9976 12470 16052 20065 24940 32104 40130 49880 80260 116377 160520 172559 232754 345118 465508 581885 690236 862795 931016 1163770 1380472 1725590 2327540 3451180 4655080 5004211 6902360 10008422 20016844 25021055 40033688 50042110 100084220 200168440