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209234144 = 2571496269
BaseRepresentation
bin11000111100010…
…10100011100000
3112120201012021202
430132022203200
5412030443034
632432340332
75120314040
oct1436124340
9476635252
10209234144
11a811a789
125a0a46a8
133446b3b2
141db07720
151358047e
hexc78a8e0

209234144 has 48 divisors (see below), whose sum is σ = 474012000. Its totient is φ = 89055744.

The previous prime is 209234093. The next prime is 209234161. The reversal of 209234144 is 441432902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30242 + ... + 36510.

It is an arithmetic number, because the mean of its divisors is an integer number (9875250).

Almost surely, 2209234144 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 209234144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237006000).

209234144 is an abundant number, since it is smaller than the sum of its proper divisors (264777856).

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

209234144 is a wasteful number, since it uses less digits than its factorization.

209234144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6435 (or 6427 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 209234144 is about 14464.9280675709. The cubic root of 209234144 is about 593.6687455346.

The spelling of 209234144 in words is "two hundred nine million, two hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 149 224 298 596 1043 1192 2086 2384 4172 4768 6269 8344 12538 16688 25076 33376 43883 50152 87766 100304 175532 200608 351064 702128 934081 1404256 1868162 3736324 6538567 7472648 13077134 14945296 26154268 29890592 52308536 104617072 209234144