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2244056220 = 22325714911953
BaseRepresentation
bin1000010111000001…
…1001010010011100
312210101120212102100
42011300121102130
514043434244340
61010401525100
7106416106650
oct20560312234
95711525370
102244056220
11a5179071a
12527643790
13299bb8523
14174068a60
15d2020830
hex85c1949c

2244056220 has 144 divisors (see below), whose sum is σ = 7832260800. Its totient is φ = 509442048.

The previous prime is 2244056207. The next prime is 2244056251. The reversal of 2244056220 is 226504422.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 181764 + ... + 193716.

It is an arithmetic number, because the mean of its divisors is an integer number (54390700).

Almost surely, 22244056220 is an apocalyptic number.

2244056220 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 2244056220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3916130400).

2244056220 is an abundant number, since it is smaller than the sum of its proper divisors (5588204580).

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

2244056220 is a wasteful number, since it uses less digits than its factorization.

2244056220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12124 (or 12119 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 2244056220 is about 47371.4705281565. The cubic root of 2244056220 is about 1309.2158195467.

The spelling of 2244056220 in words is "two billion, two hundred forty-four million, fifty-six thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 149 180 210 252 298 315 420 447 596 630 745 894 1043 1260 1341 1490 1788 2086 2235 2682 2980 3129 4172 4470 5215 5364 6258 6705 8940 9387 10430 11953 12516 13410 15645 18774 20860 23906 26820 31290 35859 37548 46935 47812 59765 62580 71718 83671 93870 107577 119530 143436 167342 179295 187740 215154 239060 251013 334684 358590 418355 430308 502026 537885 717180 753039 836710 1004052 1075770 1255065 1506078 1673420 1780997 2151540 2510130 3012156 3561994 3765195 5020260 5342991 7123988 7530390 8904985 10685982 12466979 15060780 16028973 17809970 21371964 24933958 26714955 32057946 35619940 37400937 49867916 53429910 62334895 64115892 74801874 80144865 106859820 112202811 124669790 149603748 160289730 187004685 224405622 249339580 320579460 374009370 448811244 561014055 748018740 1122028110 2244056220