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209442432 = 2734153251
BaseRepresentation
bin11000111101111…
…01011010000000
3112121002210000010
430132331122000
5412104124212
632441024520
75122142223
oct1436753200
9477083003
10209442432
11a8252221
125a185140
1334512144
141db5d5ba
15135c203c
hexc7bd680

209442432 has 128 divisors (see below), whose sum is σ = 582966720. Its totient is φ = 66560000.

The previous prime is 209442427. The next prime is 209442503. The reversal of 209442432 is 234244902.

209442432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2094424322 = 87732264644149248, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 209442432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 834307 + ... + 834557.

Almost surely, 2209442432 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 209442432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291483360).

209442432 is an abundant number, since it is smaller than the sum of its proper divisors (373524288).

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

209442432 is a wasteful number, since it uses less digits than its factorization.

209442432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 209442432 is about 14472.1260359354. The cubic root of 209442432 is about 593.8656749400.

The spelling of 209442432 in words is "two hundred nine million, four hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 53 64 82 96 106 123 128 159 164 192 212 246 251 318 328 384 424 492 502 636 656 753 848 984 1004 1272 1312 1506 1696 1968 2008 2173 2544 2624 3012 3392 3936 4016 4346 5088 5248 6024 6519 6784 7872 8032 8692 10176 10291 12048 13038 13303 15744 16064 17384 20352 20582 24096 26076 26606 30873 32128 34768 39909 41164 48192 52152 53212 61746 69536 79818 82328 96384 104304 106424 123492 139072 159636 164656 208608 212848 246984 278144 319272 329312 417216 425696 493968 545423 638544 658624 834432 851392 987936 1090846 1277088 1317248 1636269 1702784 1975872 2181692 2554176 3272538 3951744 4363384 5108352 6545076 8726768 13090152 17453536 26180304 34907072 52360608 69814144 104721216 209442432