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2442200220 = 223451507531
BaseRepresentation
bin1001000110010001…
…0000010010011100
320022012102121220000
42101210100102130
520000200401340
61042200454300
7114343234155
oct22144202234
96265377800
102442200220
111043616199
12581a7a390
132cbc72ab5
141924c692c
15e460ed30
hex9191049c

2442200220 has 60 divisors (see below), whose sum is σ = 7661277624. Its totient is φ = 651252960.

The previous prime is 2442200213. The next prime is 2442200249. The reversal of 2442200220 is 220022442.

2442200220 is a `hidden beast` number, since 2 + 442 + 2 + 0 + 0 + 220 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2442200193 and 2442200202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 752146 + ... + 755385.

Almost surely, 22442200220 is an apocalyptic number.

2442200220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2442200220 is an abundant number, since it is smaller than the sum of its proper divisors (5219077404).

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

2442200220 is a wasteful number, since it uses less digits than its factorization.

2442200220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507552 (or 1507541 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 2442200220 is about 49418.6221985195. The cubic root of 2442200220 is about 1346.6676329383.

Adding to 2442200220 its reverse (220022442), we get a palindrome (2662222662).

The spelling of 2442200220 in words is "two billion, four hundred forty-two million, two hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 1507531 3015062 4522593 6030124 7537655 9045186 13567779 15075310 18090372 22612965 27135558 30150620 40703337 45225930 54271116 67838895 81406674 90451860 122110011 135677790 162813348 203516685 244220022 271355580 407033370 488440044 610550055 814066740 1221100110 2442200220