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2220021120 = 27351156261
BaseRepresentation
bin1000010001010010…
…1101010110000000
312201201100202110110
42010110231112000
514021311133440
61004142431320
7106004603532
oct20424552600
95651322413
102220021120
11a3a1647a9
1251b592540
13294c21585
14170bad852
15ced74080
hex8452d580

2220021120 has 64 divisors (see below), whose sum is σ = 7076323440. Its totient is φ = 592005120.

The previous prime is 2220021101. The next prime is 2220021121. The reversal of 2220021120 is 211200222.

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

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2220021096 and 2220021105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220021121) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 576211 + ... + 580050.

Almost surely, 22220021120 is an apocalyptic number.

2220021120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2220021120 is an abundant number, since it is smaller than the sum of its proper divisors (4856302320).

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

2220021120 is a wasteful number, since it uses less digits than its factorization.

2220021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156283 (or 1156271 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2220021120 is about 47117.1000805440. The cubic root of 2220021120 is about 1304.5248868659.

Adding to 2220021120 its reverse (211200222), we get a palindrome (2431221342).

The spelling of 2220021120 in words is "two billion, two hundred twenty million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 1156261 2312522 3468783 4625044 5781305 6937566 9250088 11562610 13875132 17343915 18500176 23125220 27750264 34687830 37000352 46250440 55500528 69375660 74000704 92500880 111001056 138751320 148001408 185001760 222002112 277502640 370003520 444004224 555005280 740007040 1110010560 2220021120