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2241237940 = 2254110212677
BaseRepresentation
bin1000010110010110…
…1001001110110100
312210012021200110121
42011211221032310
514042224103230
61010221301324
7106353131254
oct20545511664
95705250417
102241237940
11a50136267
12526704844
1329943c7c6
14173933964
15d1b6577a
hex859693b4

2241237940 has 48 divisors (see below), whose sum is σ = 4827919824. Its totient is φ = 873446400.

The previous prime is 2241237931. The next prime is 2241237941. The reversal of 2241237940 is 497321422.

It can be written as a sum of positive squares in 8 ways, for example, as 790846884 + 1450391056 = 28122^2 + 38084^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2241237896 and 2241237905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2241237941) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 835882 + ... + 838558.

It is an arithmetic number, because the mean of its divisors is an integer number (100581663).

Almost surely, 22241237940 is an apocalyptic number.

2241237940 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 2241237940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2413959912).

2241237940 is an abundant number, since it is smaller than the sum of its proper divisors (2586681884).

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

2241237940 is a wasteful number, since it uses less digits than its factorization.

2241237940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3748 (or 3746 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 2241237940 is about 47341.7145866096. The cubic root of 2241237940 is about 1308.6675144380.

The spelling of 2241237940 in words is "two billion, two hundred forty-one million, two hundred thirty-seven thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 1021 2042 2677 4084 5105 5354 10210 10708 13385 20420 26770 41861 53540 83722 109757 167444 209305 219514 418610 439028 548785 837220 1097570 2195140 2733217 5466434 10932868 13666085 27332170 54664340 112061897 224123794 448247588 560309485 1120618970 2241237940