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2243153000 = 235311613343
BaseRepresentation
bin1000010110110011…
…1100110001101000
312210022212222102202
42011230330301220
514043221344000
61010330315332
7106405325444
oct20554746150
95708788382
102243153000
11a51224060
12527288b48
1329996038a
14173cb1824
15d1de2dd5
hex85b3cc68

2243153000 has 128 divisors (see below), whose sum is σ = 5821770240. Its totient is φ = 802080000.

The previous prime is 2243152997. The next prime is 2243153021. The reversal of 2243153000 is 3513422.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 669329 + ... + 672671.

It is an arithmetic number, because the mean of its divisors is an integer number (45482580).

Almost surely, 22243153000 is an apocalyptic number.

2243153000 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 2243153000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2910885120).

2243153000 is an abundant number, since it is smaller than the sum of its proper divisors (3578617240).

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

2243153000 is a wasteful number, since it uses less digits than its factorization.

2243153000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3436 (or 3422 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 2243153000 is about 47361.9361935299. The cubic root of 2243153000 is about 1309.0401453087.

Adding to 2243153000 its reverse (3513422), we get a palindrome (2246666422).

The spelling of 2243153000 in words is "two billion, two hundred forty-three million, one hundred fifty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 61 88 100 110 122 125 200 220 244 250 275 305 440 488 500 550 610 671 1000 1100 1220 1342 1375 1525 2200 2440 2684 2750 3050 3343 3355 5368 5500 6100 6686 6710 7625 11000 12200 13372 13420 15250 16715 16775 26744 26840 30500 33430 33550 36773 61000 66860 67100 73546 83575 83875 133720 134200 147092 167150 167750 183865 203923 294184 334300 335500 367730 407846 417875 668600 671000 735460 815692 835750 919325 1019615 1470920 1631384 1671500 1838650 2039230 2243153 3343000 3677300 4078460 4486306 4596625 5098075 7354600 8156920 8972612 9193250 10196150 11215765 17945224 18386500 20392300 22431530 25490375 36773000 40784600 44863060 50980750 56078825 89726120 101961500 112157650 203923000 224315300 280394125 448630600 560788250 1121576500 2243153000