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2244342000 = 24353438699
BaseRepresentation
bin1000010111000101…
…1111000011110000
312210102010101102210
42011301133003300
514044022421000
61010412012120
7106421410065
oct20561370360
95712111383
102244342000
11a519663aa
12527761040
13299c88624
14174100c6c
15d207a350
hex85c5f0f0

2244342000 has 160 divisors (see below), whose sum is σ = 7404883200. Its totient is φ = 584505600.

The previous prime is 2244341993. The next prime is 2244342011. The reversal of 2244342000 is 2434422.

It is a congruent number.

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, 253651 + ... + 262349.

It is an arithmetic number, because the mean of its divisors is an integer number (46280520).

Almost surely, 22244342000 is an apocalyptic number.

2244342000 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 2244342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3702441600).

2244342000 is an abundant number, since it is smaller than the sum of its proper divisors (5160541200).

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

2244342000 is a wasteful number, since it uses less digits than its factorization.

2244342000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8768 (or 8752 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 2244342000 is about 47374.4868046082. The cubic root of 2244342000 is about 1309.2713932903.

Adding to 2244342000 its reverse (2434422), we get a palindrome (2246776422).

The spelling of 2244342000 in words is "two billion, two hundred forty-four million, three hundred forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 43 48 50 60 75 80 86 100 120 125 129 150 172 200 215 240 250 258 300 344 375 400 430 500 516 600 645 688 750 860 1000 1032 1075 1200 1290 1500 1720 2000 2064 2150 2580 3000 3225 3440 4300 5160 5375 6000 6450 8600 8699 10320 10750 12900 16125 17200 17398 21500 25800 26097 32250 34796 43000 43495 51600 52194 64500 69592 86000 86990 104388 129000 130485 139184 173980 208776 217475 258000 260970 347960 374057 417552 434950 521940 652425 695920 748114 869900 1043880 1087375 1122171 1304850 1496228 1739800 1870285 2087760 2174750 2244342 2609700 2992456 3262125 3479600 3740570 4349500 4488684 5219400 5610855 5984912 6524250 7481140 8699000 8977368 9351425 10438800 11221710 13048500 14962280 17398000 17954736 18702850 22443420 26097000 28054275 29924560 37405700 44886840 46757125 52194000 56108550 74811400 89773680 93514250 112217100 140271375 149622800 187028500 224434200 280542750 374057000 448868400 561085500 748114000 1122171000 2244342000