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42022202300 = 22521388136691
BaseRepresentation
bin100111001000101101…
…111110101110111100
311000110121012001112222
4213020231332232330
51142030140433200
631145453344512
73015230553221
oct471055765674
9130417161488
1042022202300
111690448a611
128189198138
133c69001580
142068da5948
15115e2d2d85
hex9c8b7ebbc

42022202300 has 72 divisors (see below), whose sum is σ = 98316801072. Its totient is φ = 15497856000.

The previous prime is 42022202297. The next prime is 42022202323. The reversal of 42022202300 is 320222024.

It is a super-2 number, since 2×420222023002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1126955 + ... + 1163645.

It is an arithmetic number, because the mean of its divisors is an integer number (1365511126).

Almost surely, 242022202300 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 42022202300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49158400536).

42022202300 is an abundant number, since it is smaller than the sum of its proper divisors (56294598772).

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

42022202300 is a wasteful number, since it uses less digits than its factorization.

42022202300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37599 (or 37592 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

Adding to 42022202300 its reverse (320222024), we get a palindrome (42342424324).

The spelling of 42022202300 in words is "forty-two billion, twenty-two million, two hundred two thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 881 1300 1762 3524 4405 8810 11453 17620 22025 22906 36691 44050 45812 57265 73382 88100 114530 146764 183455 229060 286325 366910 476983 572650 733820 917275 953966 1145300 1834550 1907932 2384915 3669100 4769830 9539660 11924575 23849150 32324771 47698300 64649542 129299084 161623855 323247710 420222023 646495420 808119275 840444046 1616238550 1680888092 2101110115 3232477100 4202220230 8404440460 10505550575 21011101150 42022202300