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2244742020 = 2232531140099
BaseRepresentation
bin1000010111001100…
…0000101110000100
312210102212201011100
42011303000232010
514044123221040
61010424340100
7106424664243
oct20563005604
95712781140
102244742020
11a521099a4
12527914630
1329a098721
141741a695a
15d2108b30
hex85cc0b84

2244742020 has 72 divisors (see below), whose sum is σ = 6831115200. Its totient is φ = 596658240.

The previous prime is 2244741973. The next prime is 2244742039. The reversal of 2244742020 is 202474422.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35931 + ... + 76029.

It is an arithmetic number, because the mean of its divisors is an integer number (94876600).

Almost surely, 22244742020 is an apocalyptic number.

2244742020 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 2244742020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3415557600).

2244742020 is an abundant number, since it is smaller than the sum of its proper divisors (4586373180).

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

2244742020 is a wasteful number, since it uses less digits than its factorization.

2244742020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40425 (or 40420 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 27.

The square root of 2244742020 is about 47378.7085092027. The cubic root of 2244742020 is about 1309.3491746074.

The spelling of 2244742020 in words is "two billion, two hundred forty-four million, seven hundred forty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 311 622 933 1244 1555 1866 2799 3110 3732 4665 5598 6220 9330 11196 13995 18660 27990 40099 55980 80198 120297 160396 200495 240594 360891 400990 481188 601485 721782 801980 1202970 1443564 1804455 2405940 3608910 7217820 12470789 24941578 37412367 49883156 62353945 74824734 112237101 124707890 149649468 187061835 224474202 249415780 374123670 448948404 561185505 748247340 1122371010 2244742020