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2400400212 = 223728576193
BaseRepresentation
bin1000111100010011…
…0011001101010100
320012021202222001120
42033010303031110
514404000301322
61034104523540
7113325031230
oct21704631524
96167688046
102400400212
111021a66231
1256ba805b0
132c33c8b72
1418ab255c0
15e0b04a5c
hex8f133354

2400400212 has 24 divisors (see below), whose sum is σ = 6401067456. Its totient is φ = 685828608.

The previous prime is 2400400201. The next prime is 2400400237. The reversal of 2400400212 is 2120040042.

It is a junction number, because it is equal to n+sod(n) for n = 2400400191 and 2400400200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14288013 + ... + 14288180.

It is an arithmetic number, because the mean of its divisors is an integer number (266711144).

Almost surely, 22400400212 is an apocalyptic number.

It is an amenable number.

2400400212 is an abundant number, since it is smaller than the sum of its proper divisors (4000667244).

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

2400400212 is a wasteful number, since it uses less digits than its factorization.

2400400212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28576207 (or 28576205 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2400400212 is about 48993.8793320145. The cubic root of 2400400212 is about 1338.9403168891.

Adding to 2400400212 its reverse (2120040042), we get a palindrome (4520440254).

The spelling of 2400400212 in words is "two billion, four hundred million, four hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 28576193 57152386 85728579 114304772 171457158 200033351 342914316 400066702 600100053 800133404 1200200106 2400400212