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209059242 = 23719534943
BaseRepresentation
bin11000111010111…
…11110110101010
3112120101022100220
430131133312222
5412004343432
632424510510
75115655110
oct1435376652
9476338326
10209059242
11a8010337
125a01b436
13344098c2
141da9dab0
151354872c
hexc75fdaa

209059242 has 64 divisors (see below), whose sum is σ = 512593920. Its totient is φ = 55508544.

The previous prime is 209059181. The next prime is 209059247. The reversal of 209059242 is 242950902.

209059242 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2090592422 = 87411533331229128, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (209059247) 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, 39823 + ... + 44765.

It is an arithmetic number, because the mean of its divisors is an integer number (8009280).

Almost surely, 2209059242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 209059242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256296960).

209059242 is an abundant number, since it is smaller than the sum of its proper divisors (303534678).

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

209059242 is a wasteful number, since it uses less digits than its factorization.

209059242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5027.

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 209059242 is about 14458.8810770405. The cubic root of 209059242 is about 593.5032805130.

The spelling of 209059242 in words is "two hundred nine million, fifty-nine thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 53 57 106 114 133 159 266 318 371 399 742 798 1007 1113 2014 2226 3021 4943 6042 7049 9886 14098 14829 21147 29658 34601 42294 69202 93917 103803 187834 207606 261979 281751 523958 563502 657419 785937 1314838 1571874 1833853 1972257 3667706 3944514 4977601 5501559 9955202 11003118 14932803 29865606 34843207 69686414 104529621 209059242