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205304210000 = 245423892627
BaseRepresentation
bin1011111100110100010…
…1011010001001010000
3201121221000002110201122
42333031011122021100
511330430334210000
6234152045421412
720555425664051
oct2771505321120
9647830073648
10205304210000
117a08396872a
1233957b6a868
131648b1c0b86
149d18730728
155518e6c085
hex2fcd15a250

205304210000 has 100 divisors (see below), whose sum is σ = 518673996192. Its totient is φ = 78551088000.

The previous prime is 205304209963. The next prime is 205304210057. The reversal of 205304210000 is 12403502.

205304210000 is digitally balanced in base 3, 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 (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 216314 + ... + 676313.

Almost surely, 2205304210000 is an apocalyptic number.

205304210000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205304210000 is an abundant number, since it is smaller than the sum of its proper divisors (313369786192).

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

205304210000 is an equidigital number, since it uses as much as digits as its factorization.

205304210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892678 (or 892657 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

Adding to 205304210000 its reverse (12403502), we get a palindrome (205316613502).

The spelling of 205304210000 in words is "two hundred five billion, three hundred four million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 125 184 200 230 250 368 400 460 500 575 625 920 1000 1150 1250 1840 2000 2300 2500 2875 4600 5000 5750 9200 10000 11500 14375 23000 28750 46000 57500 115000 230000 892627 1785254 3570508 4463135 7141016 8926270 14282032 17852540 20530421 22315675 35705080 41060842 44631350 71410160 82121684 89262700 102652105 111578375 164243368 178525400 205304210 223156750 328486736 357050800 410608420 446313500 513260525 557891875 821216840 892627000 1026521050 1115783750 1642433680 1785254000 2053042100 2231567500 2566302625 4106084200 4463135000 5132605250 8212168400 8926270000 10265210500 12831513125 20530421000 25663026250 41060842000 51326052500 102652105000 205304210000