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2442220222416 = 2431319971959847
BaseRepresentation
bin100011100010011111101…
…010110011011111010000
322122110210112012202001020
4203202133222303133100
5310003131334104131
65105535051035440
7341305331242362
oct43423752633720
98573715182036
102442220222416
11861815713187
1233539a73bb80
131493b9c17030
14862c0042d32
15437db271996
hex2389fab37d0

2442220222416 has 80 divisors (see below), whose sum is σ = 6797787663744. Its totient is φ = 751075702272.

The previous prime is 2442220222373. The next prime is 2442220222451. The reversal of 2442220222416 is 6142220222442.

It is a super-2 number, since 2×24422202224162 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 266205 + ... + 2226051.

Almost surely, 22442220222416 is an apocalyptic number.

2442220222416 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2442220222416 is an abundant number, since it is smaller than the sum of its proper divisors (4355567441328).

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

2442220222416 is a wasteful number, since it uses less digits than its factorization.

2442220222416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1961868 (or 1961862 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 2442220222416 its reverse (6142220222442), we get a palindrome (8584440444858).

The spelling of 2442220222416 in words is "two trillion, four hundred forty-two billion, two hundred twenty million, two hundred twenty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 1997 3994 5991 7988 11982 15976 23964 25961 31952 47928 51922 77883 95856 103844 155766 207688 311532 415376 623064 1246128 1959847 3919694 5879541 7839388 11759082 15678776 23518164 25478011 31357552 47036328 50956022 76434033 94072656 101912044 152868066 203824088 305736132 407648176 611472264 1222944528 3913814459 7827628918 11741443377 15655257836 23482886754 31310515672 46965773508 50879587967 62621031344 93931547016 101759175934 152638763901 187863094032 203518351868 305277527802 407036703736 610555055604 814073407472 1221110111208 2442220222416