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2243012320 = 255191913863
BaseRepresentation
bin1000010110110001…
…1010011011100000
312210022121211110101
42011230122123200
514043202343240
61010323312144
7106404201343
oct20554323340
95708554411
102243012320
11a5113839a
1252721b654
13299911333
14173c7645a
15d1db639a
hex85b1a6e0

2243012320 has 96 divisors (see below), whose sum is σ = 5608673280. Its totient is φ = 845314560.

The previous prime is 2243012293. The next prime is 2243012323. The reversal of 2243012320 is 232103422.

It is a super-2 number, since 2×22430123202 = 10062208535343564800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2243012323) 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, 578709 + ... + 582571.

It is an arithmetic number, because the mean of its divisors is an integer number (58423680).

Almost surely, 22243012320 is an apocalyptic number.

2243012320 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 2243012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2804336640).

2243012320 is an abundant number, since it is smaller than the sum of its proper divisors (3365660960).

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

2243012320 is a wasteful number, since it uses less digits than its factorization.

2243012320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4088 (or 4080 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 2243012320 is about 47360.4510113660. The cubic root of 2243012320 is about 1309.0127791240.

Adding to 2243012320 its reverse (232103422), we get a palindrome (2475115742).

The spelling of 2243012320 in words is "two billion, two hundred forty-three million, twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 191 304 380 382 608 760 764 955 1520 1528 1910 3040 3056 3629 3820 3863 6112 7258 7640 7726 14516 15280 15452 18145 19315 29032 30560 30904 36290 38630 58064 61808 72580 73397 77260 116128 123616 145160 146794 154520 290320 293588 309040 366985 580640 587176 618080 733970 737833 1174352 1467940 1475666 2348704 2935880 2951332 3689165 5871760 5902664 7378330 11743520 11805328 14018827 14756660 23610656 28037654 29513320 56075308 59026640 70094135 112150616 118053280 140188270 224301232 280376540 448602464 560753080 1121506160 2243012320