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217300090 = 25723139971
BaseRepresentation
bin11001111001110…
…11110001111010
3120010212222200111
430330323301322
5421112100330
633321254534
75246006650
oct1474736172
9503788614
10217300090
11101729857
126093444a
1336033847
1420c06dd0
151412532a
hexcf3bc7a

217300090 has 64 divisors (see below), whose sum is σ = 470292480. Its totient is φ = 70678080.

The previous prime is 217300087. The next prime is 217300099. The reversal of 217300090 is 90003712.

It is a super-2 number, since 2×2173000902 = 94438658228016200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (217300099) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 223305 + ... + 224275.

It is an arithmetic number, because the mean of its divisors is an integer number (7348320).

Almost surely, 2217300090 is an apocalyptic number.

217300090 is an abundant number, since it is smaller than the sum of its proper divisors (252992390).

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

217300090 is a wasteful number, since it uses less digits than its factorization.

217300090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147.

The product of its (nonzero) digits is 378, while the sum is 22.

The square root of 217300090 is about 14741.1020619220. The cubic root of 217300090 is about 601.2013799087.

The spelling of 217300090 in words is "two hundred seventeen million, three hundred thousand, ninety".

Divisors: 1 2 5 7 10 14 23 35 46 70 115 139 161 230 278 322 695 805 971 973 1390 1610 1942 1946 3197 4855 4865 6394 6797 9710 9730 13594 15985 22333 22379 31970 33985 44666 44758 67970 111665 111895 134969 156331 223330 223790 269938 312662 674845 781655 944783 1349690 1563310 1889566 3104287 4723915 6208574 9447830 15521435 21730009 31042870 43460018 108650045 217300090