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22002122112 = 273127451159
BaseRepresentation
bin10100011111011011…
…011011110110000000
32002210100212121110120
4110133123123312000
5330030020401422
614035125500240
71406142644415
oct243733336600
962710777416
1022002122112
119370695aa3
124320571680
1320c8415b89
1410ca17410c
1588b8ec45c
hex51f6dbd80

22002122112 has 64 divisors (see below), whose sum is σ = 58903449600. Its totient is φ = 7276276224.

The previous prime is 22002122083. The next prime is 22002122167. The reversal of 22002122112 is 21122120022.

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

It is a junction number, because it is equal to n+sod(n) for n = 22002122091 and 22002122100.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 176812 + ... + 274347.

It is an arithmetic number, because the mean of its divisors is an integer number (920366400).

Almost surely, 222002122112 is an apocalyptic number.

It is an amenable number.

22002122112 is an abundant number, since it is smaller than the sum of its proper divisors (36901327488).

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

22002122112 is a wasteful number, since it uses less digits than its factorization.

22002122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451303 (or 451291 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 22002122112 its reverse (21122120022), we get a palindrome (43124242134).

The spelling of 22002122112 in words is "twenty-two billion, two million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 128 192 254 381 384 508 762 1016 1524 2032 3048 4064 6096 8128 12192 16256 24384 48768 451159 902318 1353477 1804636 2706954 3609272 5413908 7218544 10827816 14437088 21655632 28874176 43311264 57297193 57748352 86622528 114594386 171891579 173245056 229188772 343783158 458377544 687566316 916755088 1375132632 1833510176 2750265264 3667020352 5500530528 7334040704 11001061056 22002122112