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200342432240 = 24573137250403
BaseRepresentation
bin1011101010010101010…
…1101110100111110000
3201011010012122001012222
42322211111232213300
511240300130312430
6232011441340212
720321446401506
oct2724525564760
9634105561188
10200342432240
1177a68097655
12329b2337668
1315b7a2558c2
1499a777c676
1553285659e5
hex2ea556e9f0

200342432240 has 80 divisors (see below), whose sum is σ = 475625370528. Its totient is φ = 78461964288.

The previous prime is 200342432239. The next prime is 200342432333. The reversal of 200342432240 is 42234243002.

It is a happy number.

200342432240 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 (80).

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, 674879 + ... + 925281.

Almost surely, 2200342432240 is an apocalyptic number.

200342432240 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 200342432240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237812685264).

200342432240 is an abundant number, since it is smaller than the sum of its proper divisors (275282938288).

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

200342432240 is a wasteful number, since it uses less digits than its factorization.

200342432240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250626 (or 250620 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

Adding to 200342432240 its reverse (42234243002), we get a palindrome (242576675242).

The spelling of 200342432240 in words is "two hundred billion, three hundred forty-two million, four hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 137 146 274 292 365 548 584 685 730 1096 1168 1370 1460 2192 2740 2920 5480 5840 10001 10960 20002 40004 50005 80008 100010 160016 200020 250403 400040 500806 800080 1001612 1252015 2003224 2504030 4006448 5008060 10016120 18279419 20032240 34305211 36558838 68610422 73117676 91397095 137220844 146235352 171526055 182794190 274441688 292470704 343052110 365588380 548883376 686104220 731176760 1372208440 1462353520 2504280403 2744416880 5008560806 10017121612 12521402015 20034243224 25042804030 40068486448 50085608060 100171216120 200342432240