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2243120000 = 2754112549
BaseRepresentation
bin1000010110110011…
…0100101110000000
312210022211022011112
42011230310232000
514043214320000
61010325502452
7106405130312
oct20554645600
95708738145
102243120000
11a51201290
12527271a28
1329994b354
14173ca37b2
15d1dd8235
hex85b34b80

2243120000 has 160 divisors (see below), whose sum is σ = 6094143000. Its totient is φ = 815360000.

The previous prime is 2243119987. The next prime is 2243120017. The reversal of 2243120000 is 213422.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 878726 + ... + 881274.

Almost surely, 22243120000 is an apocalyptic number.

2243120000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2243120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3047071500).

2243120000 is an abundant number, since it is smaller than the sum of its proper divisors (3851023000).

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

2243120000 is an equidigital number, since it uses as much as digits as its factorization.

2243120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2594 (or 2567 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2243120000 is about 47361.5878112210. The cubic root of 2243120000 is about 1309.0337259908.

Adding to 2243120000 its reverse (213422), we get a palindrome (2243333422).

It can be divided in two parts, 22 and 43120000, that multiplied together give a square (948640000 = 308002).

The spelling of 2243120000 in words is "two billion, two hundred forty-three million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 128 160 176 200 220 250 275 320 352 400 440 500 550 625 640 704 800 880 1000 1100 1250 1375 1408 1600 1760 2000 2200 2500 2549 2750 3200 3520 4000 4400 5000 5098 5500 6875 7040 8000 8800 10000 10196 11000 12745 13750 16000 17600 20000 20392 22000 25490 27500 28039 35200 40000 40784 44000 50980 55000 56078 63725 80000 81568 88000 101960 110000 112156 127450 140195 163136 176000 203920 220000 224312 254900 280390 318625 326272 407840 440000 448624 509800 560780 637250 700975 815680 880000 897248 1019600 1121560 1274500 1401950 1593125 1631360 1794496 2039200 2243120 2549000 2803900 3186250 3504875 3588992 4078400 4486240 5098000 5607800 6372500 7009750 8156800 8972480 10196000 11215600 12745000 14019500 17524375 17944960 20392000 22431200 25490000 28039000 35048750 40784000 44862400 50980000 56078000 70097500 89724800 101960000 112156000 140195000 203920000 224312000 280390000 448624000 560780000 1121560000 2243120000