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2243943720 = 2332513944843
BaseRepresentation
bin1000010110111111…
…1101110100101000
312210101101011002200
42011233331310220
514043422144340
61010355300200
7106415130654
oct20557756450
95711334080
102243943720
11a51714147
125275aa660
13299b79265
14174039a64
15d1eec330
hex85bfdd28

2243943720 has 96 divisors (see below), whose sum is σ = 7345447200. Its totient is φ = 594066816.

The previous prime is 2243943703. The next prime is 2243943721. The reversal of 2243943720 is 273493422.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2243943721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27619 + ... + 72461.

It is an arithmetic number, because the mean of its divisors is an integer number (76515075).

Almost surely, 22243943720 is an apocalyptic number.

2243943720 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 2243943720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3672723600).

2243943720 is an abundant number, since it is smaller than the sum of its proper divisors (5101503480).

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

2243943720 is a wasteful number, since it uses less digits than its factorization.

2243943720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44999 (or 44992 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 2243943720 is about 47370.2830897178. The cubic root of 2243943720 is about 1309.1939411226.

The spelling of 2243943720 in words is "two billion, two hundred forty-three million, nine hundred forty-three thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 139 180 278 360 417 556 695 834 1112 1251 1390 1668 2085 2502 2780 3336 4170 5004 5560 6255 8340 10008 12510 16680 25020 44843 50040 89686 134529 179372 224215 269058 358744 403587 448430 538116 672645 807174 896860 1076232 1345290 1614348 1793720 2017935 2690580 3228696 4035870 5381160 6233177 8071740 12466354 16143480 18699531 24932708 31165885 37399062 49865416 56098593 62331770 74798124 93497655 112197186 124663540 149596248 186995310 224394372 249327080 280492965 373990620 448788744 560985930 747981240 1121971860 2243943720