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2243973440 = 2653127297
BaseRepresentation
bin1000010111000000…
…0101000101000000
312210101102122212102
42011300011011000
514043424122230
61010400045532
7106415313422
oct20560050500
95711378772
102243973440
11a51734505
125276038a8
13299b89947
14174046812
15d2006045
hex85c05140

2243973440 has 84 divisors (see below), whose sum is σ = 5522148468. Its totient is φ = 868515840.

The previous prime is 2243973437. The next prime is 2243973443. The reversal of 2243973440 is 443793422.

It is an interprime number because it is at equal distance from previous prime (2243973437) and next prime (2243973443).

It can be written as a sum of positive squares in 2 ways, for example, as 785344576 + 1458628864 = 28024^2 + 38192^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2243973394 and 2243973403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2243973443) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 303872 + ... + 311168.

Almost surely, 22243973440 is an apocalyptic number.

2243973440 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 2243973440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2761074234).

2243973440 is an abundant number, since it is smaller than the sum of its proper divisors (3278175028).

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

2243973440 is an equidigital number, since it uses as much as digits as its factorization.

2243973440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7376 (or 7335 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 38.

The square root of 2243973440 is about 47370.5967874588. The cubic root of 2243973440 is about 1309.1997209871.

The spelling of 2243973440 in words is "two billion, two hundred forty-three million, nine hundred seventy-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 155 160 248 310 320 496 620 961 992 1240 1922 1984 2480 3844 4805 4960 7297 7688 9610 9920 14594 15376 19220 29188 30752 36485 38440 58376 61504 72970 76880 116752 145940 153760 226207 233504 291880 307520 452414 467008 583760 904828 1131035 1167520 1809656 2262070 2335040 3619312 4524140 7012417 7238624 9048280 14024834 14477248 18096560 28049668 35062085 36193120 56099336 70124170 72386240 112198672 140248340 224397344 280496680 448794688 560993360 1121986720 2243973440