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2243202320 = 245193474253
BaseRepresentation
bin1000010110110100…
…1000110100010000
312210022222111002102
42011231020310100
514043224433240
61010331335532
7106405622312
oct20555106420
95708874072
102243202320
11a51258117
125272b15a8
13299979968
14173cc57b2
15d1e02815
hex85b48d10

2243202320 has 80 divisors (see below), whose sum is σ = 5507058240. Its totient is φ = 847406592.

The previous prime is 2243202319. The next prime is 2243202331. The reversal of 2243202320 is 232023422.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2243202292 and 2243202301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 525314 + ... + 529566.

It is an arithmetic number, because the mean of its divisors is an integer number (68838228).

Almost surely, 22243202320 is an apocalyptic number.

2243202320 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 2243202320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2753529120).

2243202320 is an abundant number, since it is smaller than the sum of its proper divisors (3263855920).

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

2243202320 is a wasteful number, since it uses less digits than its factorization.

2243202320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4632 (or 4626 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 2243202320 is about 47362.4568619492. The cubic root of 2243202320 is about 1309.0497391537.

Adding to 2243202320 its reverse (232023422), we get a palindrome (2475225742).

The spelling of 2243202320 in words is "two billion, two hundred forty-three million, two hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 347 380 694 760 1388 1520 1735 2776 3470 4253 5552 6593 6940 8506 13186 13880 17012 21265 26372 27760 32965 34024 42530 52744 65930 68048 80807 85060 105488 131860 161614 170120 263720 323228 340240 404035 527440 646456 808070 1292912 1475791 1616140 2951582 3232280 5903164 6464560 7378955 11806328 14757910 23612656 28040029 29515820 56080058 59031640 112160116 118063280 140200145 224320232 280400290 448640464 560800580 1121601160 2243202320