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209889414 = 23372941467
BaseRepresentation
bin11001000001010…
…10100010000110
3112121221111011000
430200222202012
5412212430124
632454354130
75126013330
oct1440524206
9477844130
10209889414
11a8528029
125a35b946
133463a727
141dc38450
151365e6c9
hexc82a886

209889414 has 128 divisors (see below), whose sum is σ = 566092800. Its totient is φ = 56367360.

The previous prime is 209889403. The next prime is 209889469. The reversal of 209889414 is 414988902.

It is a super-2 number, since 2×2098894142 = 88107132218526792, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 209889414.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 449209 + ... + 449675.

It is an arithmetic number, because the mean of its divisors is an integer number (4422600).

Almost surely, 2209889414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 209889414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283046400).

209889414 is an abundant number, since it is smaller than the sum of its proper divisors (356203386).

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

209889414 is a wasteful number, since it uses less digits than its factorization.

209889414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 209889414 is about 14487.5606642388. The cubic root of 209889414 is about 594.2878413132.

The spelling of 209889414 in words is "two hundred nine million, eight hundred eighty-nine thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 41 42 54 58 63 82 87 123 126 174 189 203 246 261 287 369 378 406 467 522 574 609 738 783 861 934 1107 1189 1218 1401 1566 1722 1827 2214 2378 2583 2802 3269 3567 3654 4203 5166 5481 6538 7134 7749 8323 8406 9807 10701 10962 12609 13543 15498 16646 19147 19614 21402 24969 25218 27086 29421 32103 38294 40629 49938 57441 58842 64206 74907 81258 88263 94801 114882 121887 134029 149814 172323 176526 189602 224721 243774 268058 284403 344646 365661 402087 449442 516969 555263 568806 731322 804174 853209 1033938 1110526 1206261 1665789 1706418 2412522 2559627 3331578 3618783 3886841 4997367 5119254 7237566 7773682 9994734 11660523 14992101 23321046 29984202 34981569 69963138 104944707 209889414