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200000008 = 23132295101
BaseRepresentation
bin10111110101111…
…00001000001000
3111221100001102201
423322330020020
5402200000013
631502405544
74645654255
oct1372741010
9457301381
10200000008
11a2992a6a
1256b908b4
1332587300
141c7c242c
15128593dd
hexbebc208

200000008 has 48 divisors (see below), whose sum is σ = 420149700. Its totient is φ = 89107200.

The previous prime is 199999991. The next prime is 200000033. The reversal of 200000008 is 800000002.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 116964 + 199883044 = 342^2 + 14138^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36658 + ... + 41758.

Almost surely, 2200000008 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 200000008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210074850).

200000008 is an abundant number, since it is smaller than the sum of its proper divisors (220149692).

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

200000008 is a wasteful number, since it uses less digits than its factorization.

200000008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5162 (or 5145 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 200000008 is about 14142.1359065737. The cubic root of 200000008 is about 584.8035554400.

The spelling of 200000008 in words is "two hundred million, eight", and thus it is an aban number.

Divisors: 1 2 4 8 13 26 29 52 58 104 116 169 232 338 377 676 754 1352 1508 3016 4901 5101 9802 10202 19604 20404 39208 40808 66313 132626 147929 265252 295858 530504 591716 862069 1183432 1724138 1923077 3448276 3846154 6896552 7692308 15384616 25000001 50000002 100000004 200000008