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40222442400200 = 23521220291648069
BaseRepresentation
bin10010010010101000001000…
…11001000010100111001000
312021102020011011112202021022
421021110010121002213020
520233001030223301300
6221313533540532012
711320655422203644
oct1111240431024710
9167366134482238
1040222442400200
11118a8273157755
1246174666b1008
131959c632a4388
149d0ac2dbbc24
1549b42855b285
hex2495046429c8

40222442400200 has 48 divisors (see below), whose sum is σ = 93518001676500. Its totient is φ = 16088835352320.

The previous prime is 40222442400187. The next prime is 40222442400229. The reversal of 40222442400200 is 200424422204.

It can be written as a sum of positive squares in 6 ways, for example, as 14044340866084 + 26178101534116 = 3747578^2 + 5116454^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 40222442400200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23581766 + ... + 25229834.

Almost surely, 240222442400200 is an apocalyptic number.

40222442400200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40222442400200 is an abundant number, since it is smaller than the sum of its proper divisors (53295559276300).

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

40222442400200 is a wasteful number, since it uses less digits than its factorization.

40222442400200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1770114 (or 1770105 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 40222442400200 its reverse (200424422204), we get a palindrome (40422866822404).

The spelling of 40222442400200 in words is "forty trillion, two hundred twenty-two billion, four hundred forty-two million, four hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 122029 244058 488116 610145 976232 1220290 1648069 2440580 3050725 3296138 4881160 6101450 6592276 8240345 12202900 13184552 16480690 24405800 32961380 41201725 65922760 82403450 164806900 329613800 201112212001 402224424002 804448848004 1005561060005 1608897696008 2011122120010 4022244240020 5027805300025 8044488480040 10055610600050 20111221200100 40222442400200