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200488840 = 2354722269
BaseRepresentation
bin10111111001100…
…11011110001000
3111222020212222121
423330303132020
5402311120330
631521101024
74653061366
oct1374633610
9458225877
10200488840
11a3197262
1257187774
13326c8966
141c8ac636
151290417a
hexbf33788

200488840 has 48 divisors (see below), whose sum is σ = 461105100. Its totient is φ = 78454656.

The previous prime is 200488801. The next prime is 200488853. The reversal of 200488840 is 48884002.

It can be written as a sum of positive squares in 2 ways, for example, as 175668516 + 24820324 = 13254^2 + 4982^2 .

It is a junction number, because it is equal to n+sod(n) for n = 200488796 and 200488805.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87226 + ... + 89494.

Almost surely, 2200488840 is an apocalyptic number.

200488840 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 200488840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230552550).

200488840 is an abundant number, since it is smaller than the sum of its proper divisors (260616260).

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

200488840 is a wasteful number, since it uses less digits than its factorization.

200488840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2374 (or 2323 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 34.

The square root of 200488840 is about 14159.4081797228. The cubic root of 200488840 is about 585.2796189256.

The spelling of 200488840 in words is "two hundred million, four hundred eighty-eight thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 376 470 940 1880 2209 2269 4418 4538 8836 9076 11045 11345 17672 18152 22090 22690 44180 45380 88360 90760 106643 213286 426572 533215 853144 1066430 2132860 4265720 5012221 10024442 20048884 25061105 40097768 50122210 100244420 200488840