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212351430400 = 285233179911
BaseRepresentation
bin1100010111000100100…
…0011010111100000000
3202022010010200100201121
43011301020122330000
511434343431233100
6241315232042024
721225160243114
oct3056110327400
9668103610647
10212351430400
118206a93471a
12351a4093314
131704221ac85
14a3c665d744
1557cc9b251a
hex317121af00

212351430400 has 54 divisors (see below), whose sum is σ = 525602985992. Its totient is φ = 84940569600.

The previous prime is 212351430359. The next prime is 212351430409. The reversal of 212351430400 is 4034153212.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212351430409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16583556 + ... + 16596355.

Almost surely, 2212351430400 is an apocalyptic number.

212351430400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212351430400 is an abundant number, since it is smaller than the sum of its proper divisors (313251555592).

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

212351430400 is an equidigital number, since it uses as much as digits as its factorization.

212351430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33179937 (or 33179918 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 212351430400 its reverse (4034153212), we get a palindrome (216385583612).

The spelling of 212351430400 in words is "two hundred twelve billion, three hundred fifty-one million, four hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 640 800 1280 1600 3200 6400 33179911 66359822 132719644 165899555 265439288 331799110 530878576 663598220 829497775 1061757152 1327196440 1658995550 2123514304 2654392880 3317991100 4247028608 5308785760 6635982200 8494057216 10617571520 13271964400 21235143040 26543928800 42470286080 53087857600 106175715200 212351430400