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22200240042 = 2321233346669
BaseRepresentation
bin10100101011001111…
…001100011110101010
32010022011200001011200
4110223033030132222
5330431230140132
614110524105030
71414066632621
oct245317143652
963264601150
1022200240042
119462502a22
124376995176
13212a491616
1411085c66b8
1589ded3d7c
hex52b3cc7aa

22200240042 has 12 divisors (see below), whose sum is σ = 48100520130. Its totient is φ = 7400080008.

The previous prime is 22200240037. The next prime is 22200240059. The reversal of 22200240042 is 24004200222.

22200240042 is a `hidden beast` number, since 2 + 220 + 0 + 2 + 400 + 42 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14225571441 + 7974668601 = 119271^2 + 89301^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 1233346669 = 22200240042 / (2 + 2 + 2 + 0 + 0 + 2 + 4 + 0 + 0 + 4 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 22200239997 and 22200240024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 616673317 + ... + 616673352.

Almost surely, 222200240042 is an apocalyptic number.

22200240042 is an abundant number, since it is smaller than the sum of its proper divisors (25900280088).

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

22200240042 is a wasteful number, since it uses less digits than its factorization.

22200240042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233346677 (or 1233346674 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 22200240042 its reverse (24004200222), we get a palindrome (46204440264).

The spelling of 22200240042 in words is "twenty-two billion, two hundred million, two hundred forty thousand, forty-two".

Divisors: 1 2 3 6 9 18 1233346669 2466693338 3700040007 7400080014 11100120021 22200240042