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2243042120 = 2351129374751
BaseRepresentation
bin1000010110110010…
…0001101101001000
312210022200100100002
42011230201231020
514043204321440
61010324102132
7106404354254
oct20554415510
95708610302
102243042120
11a51158820
12527234948
13299921a77
14173c83264
15d1dc0115
hex85b21b48

2243042120 has 128 divisors (see below), whose sum is σ = 5850662400. Its totient is φ = 766080000.

The previous prime is 2243042119. The next prime is 2243042159. The reversal of 2243042120 is 212403422.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2243042092 and 2243042101.

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 31 ways as a sum of consecutive naturals, for example, 469745 + ... + 474495.

It is an arithmetic number, because the mean of its divisors is an integer number (45708300).

Almost surely, 22243042120 is an apocalyptic number.

2243042120 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 2243042120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2925331200).

2243042120 is an abundant number, since it is smaller than the sum of its proper divisors (3607620280).

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

2243042120 is a wasteful number, since it uses less digits than its factorization.

2243042120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4839 (or 4835 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2243042120 is about 47360.7656188115. The cubic root of 2243042120 is about 1309.0185761509.

Adding to 2243042120 its reverse (212403422), we get a palindrome (2455445542).

The spelling of 2243042120 in words is "two billion, two hundred forty-three million, forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 29 37 40 44 55 58 74 88 110 116 145 148 185 220 232 290 296 319 370 407 440 580 638 740 814 1073 1160 1276 1480 1595 1628 2035 2146 2552 3190 3256 4070 4292 4751 5365 6380 8140 8584 9502 10730 11803 12760 16280 19004 21460 23606 23755 38008 42920 47212 47510 52261 59015 94424 95020 104522 118030 137779 175787 190040 209044 236060 261305 275558 351574 418088 472120 522610 551116 688895 703148 878935 1045220 1102232 1377790 1406296 1515569 1757870 1933657 2090440 2755580 3031138 3515740 3867314 5097823 5511160 6062276 7031480 7577845 7734628 9668285 10195646 12124552 15155690 15469256 19336570 20391292 25489115 30311380 38673140 40782584 50978230 56076053 60622760 77346280 101956460 112152106 203912920 224304212 280380265 448608424 560760530 1121521060 2243042120