Search a number
-
+
222140100014301 = 371929374161207463
BaseRepresentation
bin110010100000100100000101…
…110000000111000011011101
31002010112101102111211112202210
4302200210011300013003131
5213104020411100424201
62104241430402111033
764535043522325620
oct6240440560070335
91063471374745683
10222140100014301
11648650a6306557
1220ab82a604b479
1396c494c316111
143cbd8d1355db7
151aa35917cd1d6
hexca0905c070dd

222140100014301 has 256 divisors, whose sum is σ = 394156372377600. Its totient is φ = 108408687206400.

The previous prime is 222140100014293. The next prime is 222140100014333. The reversal of 222140100014301 is 103410001041222.

It is not a de Polignac number, because 222140100014301 - 23 = 222140100014293 is a prime.

It is a super-2 number, since 2×2221401000143012 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222140100014501) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 1070641896 + ... + 1070849358.

It is an arithmetic number, because the mean of its divisors is an integer number (1539673329600).

Almost surely, 2222140100014301 is an apocalyptic number.

222140100014301 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

222140100014301 is a deficient number, since it is larger than the sum of its proper divisors (172016272363299).

222140100014301 is a wasteful number, since it uses less digits than its factorization.

222140100014301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207660.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 222140100014301 its reverse (103410001041222), we get a palindrome (325550101055523).

The spelling of 222140100014301 in words is "two hundred twenty-two trillion, one hundred forty billion, one hundred million, fourteen thousand, three hundred one".