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22140270142200 = 23325272757331603
BaseRepresentation
bin1010000100010111011101…
…11011111110001011111000
32220101120220111022212210200
411002023232323332023320
510400221233124022300
6115031033311042200
74443403351041600
oct502135673761370
986346814285720
1022140270142200
1170666aa332881
122596b23810360
13c47a84382842
14567848179c00
15285dbc647200
hex1422eeefe2f8

22140270142200 has 432 divisors, whose sum is σ = 86608422253080. Its totient is φ = 5053932817920.

The previous prime is 22140270142183. The next prime is 22140270142223. The reversal of 22140270142200 is 224107204122.

It is a happy number.

22140270142200 is a `hidden beast` number, since 2 + 21 + 402 + 7 + 0 + 14 + 220 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 66601599 + ... + 66933201.

Almost surely, 222140270142200 is an apocalyptic number.

22140270142200 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 22140270142200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43304211126540).

22140270142200 is an abundant number, since it is smaller than the sum of its proper divisors (64468152110880).

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

22140270142200 is a wasteful number, since it uses less digits than its factorization.

22140270142200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332396 (or 332377 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

Adding to 22140270142200 its reverse (224107204122), we get a palindrome (22364377346322).

The spelling of 22140270142200 in words is "twenty-two trillion, one hundred forty billion, two hundred seventy million, one hundred forty-two thousand, two hundred".