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208204880 = 245131071871
BaseRepresentation
bin11000110100011…
…11010001010000
3112111202220101212
430122033101100
5411300024010
632354315252
75105466212
oct1432172120
9474686355
10208204880
11a7587454
1259888b28
133419aa70
141d91a5b2
151342a505
hexc68f450

208204880 has 80 divisors (see below), whose sum is σ = 526466304. Its totient is φ = 76116480.

The previous prime is 208204879. The next prime is 208204889. The reversal of 208204880 is 88402802.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208204889) 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, 110345 + ... + 112215.

Almost surely, 2208204880 is an apocalyptic number.

208204880 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 208204880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263233152).

208204880 is an abundant number, since it is smaller than the sum of its proper divisors (318261424).

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

208204880 is a wasteful number, since it uses less digits than its factorization.

208204880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2004 (or 1998 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The square root of 208204880 is about 14429.3062896315. The cubic root of 208204880 is about 592.6936870852.

The spelling of 208204880 in words is "two hundred eight million, two hundred four thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 107 130 208 214 260 428 520 535 856 1040 1070 1391 1712 1871 2140 2782 3742 4280 5564 6955 7484 8560 9355 11128 13910 14968 18710 22256 24323 27820 29936 37420 48646 55640 74840 97292 111280 121615 149680 194584 200197 243230 389168 400394 486460 800788 972920 1000985 1601576 1945840 2001970 2602561 3203152 4003940 5205122 8007880 10410244 13012805 16015760 20820488 26025610 41640976 52051220 104102440 208204880