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208806912 = 21032139163
BaseRepresentation
bin11000111001000…
…10010000000000
3112112220111020100
430130202100000
5411423310122
632415242400
75113554336
oct1434422000
9475814210
10208806912
11a79587a6
1259b19400
133434bab2
141da35b56
15134e8aac
hexc722400

208806912 has 132 divisors (see below), whose sum is σ = 610988560. Its totient is φ = 68677632.

The previous prime is 208806887. The next prime is 208806929. The reversal of 208806912 is 219608802.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1280943 + ... + 1281105.

Almost surely, 2208806912 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 208806912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305494280).

208806912 is an abundant number, since it is smaller than the sum of its proper divisors (402181648).

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

208806912 is a wasteful number, since it uses less digits than its factorization.

208806912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 208806912 is about 14450.1526635534. The cubic root of 208806912 is about 593.2644024903.

The spelling of 208806912 in words is "two hundred eight million, eight hundred six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 139 144 163 192 256 278 288 326 384 417 489 512 556 576 652 768 834 978 1024 1112 1152 1251 1304 1467 1536 1668 1956 2224 2304 2502 2608 2934 3072 3336 3912 4448 4608 5004 5216 5868 6672 7824 8896 9216 10008 10432 11736 13344 15648 17792 20016 20864 22657 23472 26688 31296 35584 40032 41728 45314 46944 53376 62592 67971 71168 80064 83456 90628 93888 106752 125184 135942 142336 160128 166912 181256 187776 203913 213504 250368 271884 320256 362512 375552 407826 427008 500736 543768 640512 725024 751104 815652 1087536 1281024 1450048 1502208 1631304 2175072 2900096 3262608 4350144 5800192 6525216 8700288 11600384 13050432 17400576 23200768 26100864 34801152 52201728 69602304 104403456 208806912