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2241300040 = 235719537949
BaseRepresentation
bin1000010110010111…
…1000011001001000
312210012101211122121
42011211320121020
514042233100130
61010222501024
7106353510310
oct20545703110
95705354577
102241300040
11a50178991
12526734774
13299461b55
1417394c440
15d1b78d7a
hex85978648

2241300040 has 128 divisors (see below), whose sum is σ = 6181920000. Its totient is φ = 714175488.

The previous prime is 2241300007. The next prime is 2241300101. The reversal of 2241300040 is 400031422.

It is a junction number, because it is equal to n+sod(n) for n = 2241299987 and 2241300023.

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, 277986 + ... + 285934.

It is an arithmetic number, because the mean of its divisors is an integer number (48296250).

Almost surely, 22241300040 is an apocalyptic number.

2241300040 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 2241300040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3090960000).

2241300040 is an abundant number, since it is smaller than the sum of its proper divisors (3940619960).

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

2241300040 is a wasteful number, since it uses less digits than its factorization.

2241300040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8039 (or 8035 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2241300040 is about 47342.3704518479. The cubic root of 2241300040 is about 1308.6796011365.

Adding to 2241300040 its reverse (400031422), we get a palindrome (2641331462).

The spelling of 2241300040 in words is "two billion, two hundred forty-one million, three hundred thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 53 56 70 76 95 106 133 140 152 190 212 265 266 280 371 380 424 530 532 665 742 760 1007 1060 1064 1330 1484 1855 2014 2120 2660 2968 3710 4028 5035 5320 7049 7420 7949 8056 10070 14098 14840 15898 20140 28196 31796 35245 39745 40280 55643 56392 63592 70490 79490 111286 140980 151031 158980 222572 278215 281960 302062 317960 421297 445144 556430 604124 755155 842594 1057217 1112860 1208248 1510310 1685188 2106485 2114434 2225720 2949079 3020620 3370376 4212970 4228868 5286085 5898158 6041240 8004643 8425940 8457736 10572170 11796316 14745395 16009286 16851880 21144340 23592632 29490790 32018572 40023215 42288680 56032501 58981580 64037144 80046430 112065002 117963160 160092860 224130004 280162505 320185720 448260008 560325010 1120650020 2241300040