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2244044440 = 2351143831429
BaseRepresentation
bin1000010111000001…
…0110011010011000
312210101120021021001
42011300112122120
514043433410230
61010401354344
7106416030421
oct20560263230
95711507231
102244044440
11a51782890
125276389b4
13299bb3061
14174064648
15d201c0ca
hex85c16698

2244044440 has 128 divisors (see below), whose sum is σ = 5708102400. Its totient is φ = 786885120.

The previous prime is 2244044377. The next prime is 2244044443. The reversal of 2244044440 is 444404422.

It is a junction number, because it is equal to n+sod(n) for n = 2244044399 and 2244044408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2244044443) by changing a digit.

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, 1569646 + ... + 1571074.

It is an arithmetic number, because the mean of its divisors is an integer number (44594550).

Almost surely, 22244044440 is an apocalyptic number.

2244044440 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 2244044440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2854051200).

2244044440 is an abundant number, since it is smaller than the sum of its proper divisors (3464057960).

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

2244044440 is a wasteful number, since it uses less digits than its factorization.

2244044440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577 (or 1573 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

The square root of 2244044440 is about 47371.3461915534. The cubic root of 2244044440 is about 1309.2135286668.

Adding to 2244044440 its reverse (444404422), we get a palindrome (2688448862).

The spelling of 2244044440 in words is "two billion, two hundred forty-four million, forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 43 44 55 83 86 88 110 166 172 215 220 332 344 415 430 440 473 664 830 860 913 946 1429 1660 1720 1826 1892 2365 2858 3320 3569 3652 3784 4565 4730 5716 7138 7145 7304 9130 9460 11432 14276 14290 15719 17845 18260 18920 28552 28580 31438 35690 36520 39259 57160 61447 62876 71380 78518 78595 118607 122894 125752 142760 157036 157190 196295 237214 245788 307235 314072 314380 392590 474428 491576 593035 614470 628760 675917 785180 948856 1186070 1228940 1304677 1351834 1570360 2372140 2457880 2609354 2703668 3379585 4744280 5100101 5218708 5407336 6523385 6759170 10200202 10437416 13046770 13518340 20400404 25500505 26093540 27036680 40800808 51001010 52187080 56101111 102002020 112202222 204004040 224404444 280505555 448808888 561011110 1122022220 2244044440