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2400202112 = 27711243527
BaseRepresentation
bin1000111100010000…
…0010110110000000
320012021101220022112
42033010002312000
514403422431422
61034100354452
7113323244540
oct21704026600
96167356275
102400202112
111021940410
1256b9a5a28
132c3359949
1418aab3320
15e0ab5ee2
hex8f102d80

2400202112 has 64 divisors (see below), whose sum is σ = 5961565440. Its totient is φ = 935139840.

The previous prime is 2400202097. The next prime is 2400202117. The reversal of 2400202112 is 2112020042.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400202117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111908 + ... + 131619.

It is an arithmetic number, because the mean of its divisors is an integer number (93149460).

Almost surely, 22400202112 is an apocalyptic number.

2400202112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2400202112 is an abundant number, since it is smaller than the sum of its proper divisors (3561363328).

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

2400202112 is a wasteful number, since it uses less digits than its factorization.

2400202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243559 (or 243547 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 2400202112 is about 48991.8576091987. The cubic root of 2400202112 is about 1338.9034825628.

Adding to 2400202112 its reverse (2112020042), we get a palindrome (4512222154).

The spelling of 2400202112 in words is "two billion, four hundred million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 308 352 448 616 704 896 1232 1408 2464 4928 9856 243527 487054 974108 1704689 1948216 2678797 3409378 3896432 5357594 6818756 7792864 10715188 13637512 15585728 18751579 21430376 27275024 31171456 37503158 42860752 54550048 75006316 85721504 109100096 150012632 171443008 218200192 300025264 342886016 600050528 1200101056 2400202112