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212202014234320 = 24511241138652539
BaseRepresentation
bin110000001111111100100001…
…101011011101011011010000
31000211100022111020010112220101
4300033330201223131123100
5210303204211120444240
62031152132021422144
762461042506102355
oct6017744153353320
91024308436115811
10212202014234320
1161683406a38410
121b97220926a954
139153744389c56
143a588bd00662c
15197ecdc1a939a
hexc0ff21add6d0

212202014234320 has 40 divisors (see below), whose sum is σ = 538221472469280. Its totient is φ = 77164368812160.

The previous prime is 212202014234317. The next prime is 212202014234383. The reversal of 212202014234320 is 23432410202212.

It is a tau number, because it is divible by the number of its divisors (40).

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, 120569325390 + ... + 120569327149.

It is an arithmetic number, because the mean of its divisors is an integer number (13455536811732).

Almost surely, 2212202014234320 is an apocalyptic number.

212202014234320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212202014234320 is an abundant number, since it is smaller than the sum of its proper divisors (326019458234960).

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

212202014234320 is a wasteful number, since it uses less digits than its factorization.

212202014234320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241138652563 (or 241138652557 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 212202014234320 its reverse (23432410202212), we get a palindrome (235634424436532).

It can be divided in two parts, 2122020 and 14234320, that added together give a triangular number (16356340 = T5719).

The spelling of 212202014234320 in words is "two hundred twelve trillion, two hundred two billion, fourteen million, two hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 241138652539 482277305078 964554610156 1205693262695 1929109220312 2411386525390 2652525177929 3858218440624 4822773050780 5305050355858 9645546101560 10610100711716 13262625889645 19291092203120 21220201423432 26525251779290 42440402846864 53050503558580 106101007117160 212202014234320