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214987968 = 26321328711
BaseRepresentation
bin11001101000001…
…11010011000000
3112222112112001100
430310013103000
5420014103333
633155534400
75220240036
oct1464072300
9488475040
10214987968
1110039a708
125bbba400
1335704320
14207a4556
1513d1a213
hexcd074c0

214987968 has 84 divisors (see below), whose sum is σ = 663649168. Its totient is φ = 66147840.

The previous prime is 214987963. The next prime is 214987979. The reversal of 214987968 is 869789412.

214987968 is a `hidden beast` number, since 21 + 498 + 79 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (214987963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6868 + ... + 21843.

Almost surely, 2214987968 is an apocalyptic number.

It is an amenable number.

214987968 is an abundant number, since it is smaller than the sum of its proper divisors (448661200).

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

214987968 is a wasteful number, since it uses less digits than its factorization.

214987968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28742 (or 28729 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 214987968 is about 14662.4680050802. The cubic root of 214987968 is about 599.0614660221.

The spelling of 214987968 in words is "two hundred fourteen million, nine hundred eighty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 3744 7488 28711 57422 86133 114844 172266 229688 258399 344532 373243 459376 516798 689064 746486 918752 1033596 1119729 1378128 1492972 1837504 2067192 2239458 2756256 2985944 3359187 4134384 4478916 5512512 5971888 6718374 8268768 8957832 11943776 13436748 16537536 17915664 23887552 26873496 35831328 53746992 71662656 107493984 214987968