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219230208 = 2123219313
BaseRepresentation
bin11010001000100…
…11000000000000
3120021112001022100
431010103000000
5422110331313
633430510400
75301266061
oct1504230000
9507461270
10219230208
1110282799a
1261505400
133655b222
142118a568
15143a7173
hexd113000

219230208 has 156 divisors (see below), whose sum is σ = 668713240. Its totient is φ = 69009408.

The previous prime is 219230201. The next prime is 219230213. The reversal of 219230208 is 802032912.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (219230201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 700260 + ... + 700572.

Almost surely, 2219230208 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 219230208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334356620).

219230208 is an abundant number, since it is smaller than the sum of its proper divisors (449483032).

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

219230208 is a wasteful number, since it uses less digits than its factorization.

219230208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 219230208 is about 14806.4245515249. The cubic root of 219230208 is about 602.9761465115.

It can be divided in two parts, 2192 and 30208, that added together give a square (32400 = 1802).

The spelling of 219230208 in words is "two hundred nineteen million, two hundred thirty thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 313 342 384 456 512 576 608 626 684 768 912 939 1024 1152 1216 1252 1368 1536 1824 1878 2048 2304 2432 2504 2736 2817 3072 3648 3756 4096 4608 4864 5008 5472 5634 5947 6144 7296 7512 9216 9728 10016 10944 11268 11894 12288 14592 15024 17841 18432 19456 20032 21888 22536 23788 29184 30048 35682 36864 38912 40064 43776 45072 47576 53523 58368 60096 71364 77824 80128 87552 90144 95152 107046 116736 120192 142728 160256 175104 180288 190304 214092 233472 240384 285456 320512 350208 360576 380608 428184 480768 570912 641024 700416 721152 761216 856368 961536 1141824 1282048 1442304 1522432 1712736 1923072 2283648 2884608 3044864 3425472 3846144 4567296 5769216 6089728 6850944 9134592 11538432 12179456 13701888 18269184 24358912 27403776 36538368 54807552 73076736 109615104 219230208