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204222304240 = 24517373402583
BaseRepresentation
bin1011111000110010011…
…0010000111111110000
3201112010121021222000221
42332030212100333300
511321221402213430
6233452440422424
720516550641623
oct2761446207760
9645117258027
10204222304240
1179679191939
12336b5777a14
1316348007056
149c54b81dba
1554a3eac57a
hex2f8c990ff0

204222304240 has 80 divisors (see below), whose sum is σ = 504096360768. Its totient is φ = 76677378048.

The previous prime is 204222304201. The next prime is 204222304243. The reversal of 204222304240 is 42403222402.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204222304243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 305989 + ... + 708571.

Almost surely, 2204222304240 is an apocalyptic number.

204222304240 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 204222304240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252048180384).

204222304240 is an abundant number, since it is smaller than the sum of its proper divisors (299874056528).

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

204222304240 is a wasteful number, since it uses less digits than its factorization.

204222304240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402986 (or 402980 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 25.

Adding to 204222304240 its reverse (42403222402), we get a palindrome (246625526642).

The spelling of 204222304240 in words is "two hundred four billion, two hundred twenty-two million, three hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 373 680 746 1360 1492 1865 2984 3730 5968 6341 7460 12682 14920 25364 29840 31705 50728 63410 101456 126820 253640 402583 507280 805166 1610332 2012915 3220664 4025830 6441328 6843911 8051660 13687822 16103320 27375644 32206640 34219555 54751288 68439110 109502576 136878220 150163459 273756440 300326918 547512880 600653836 750817295 1201307672 1501634590 2402615344 2552778803 3003269180 5105557606 6006538360 10211115212 12013076720 12763894015 20422230424 25527788030 40844460848 51055576060 102111152120 204222304240