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204262240 = 25571314029
BaseRepresentation
bin11000010110011…
…00101101100000
3112020100121010011
430023030231200
5404242342430
632134014304
75030125510
oct1413145540
9466317104
10204262240
11a5334276
12584a7394
133341a340
141d1b1840
1512dec22a
hexc2ccb60

204262240 has 96 divisors (see below), whose sum is σ = 593974080. Its totient is φ = 64641024.

The previous prime is 204262231. The next prime is 204262271. The reversal of 204262240 is 42262402.

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, 7546 + ... + 21574.

It is an arithmetic number, because the mean of its divisors is an integer number (6187230).

Almost surely, 2204262240 is an apocalyptic number.

204262240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204262240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296987040).

204262240 is an abundant number, since it is smaller than the sum of its proper divisors (389711840).

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

204262240 is a wasteful number, since it uses less digits than its factorization.

204262240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14064 (or 14056 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 204262240 is about 14292.0341449354. The cubic root of 204262240 is about 588.9286696489.

The spelling of 204262240 in words is "two hundred four million, two hundred sixty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 65 70 80 91 104 112 130 140 160 182 208 224 260 280 364 416 455 520 560 728 910 1040 1120 1456 1820 2080 2912 3640 7280 14029 14560 28058 56116 70145 98203 112232 140290 182377 196406 224464 280580 364754 392812 448928 491015 561160 729508 785624 911885 982030 1122320 1276639 1459016 1571248 1823770 1964060 2244640 2553278 2918032 3142496 3647540 3928120 5106556 5836064 6383195 7295080 7856240 10213112 12766390 14590160 15712480 20426224 25532780 29180320 40852448 51065560 102131120 204262240