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2243131040 = 25561311739
BaseRepresentation
bin1000010110110011…
…0111011010100000
312210022211212022102
42011230313122200
514043220143130
61010330025532
7106405204433
oct20554673240
95708755272
102243131040
11a51209607
125272782a8
13299953397
14173ca781a
15d1ddb645
hex85b376a0

2243131040 has 96 divisors (see below), whose sum is σ = 5410903680. Its totient is φ = 878515200.

The previous prime is 2243130997. The next prime is 2243131057. The reversal of 2243131040 is 401313422.

It is a super-2 number, since 2×22431310402 = 10063273725222963200, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 3034991 + ... + 3035729.

It is an arithmetic number, because the mean of its divisors is an integer number (56363580).

Almost surely, 22243131040 is an apocalyptic number.

2243131040 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 2243131040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2705451840).

2243131040 is an abundant number, since it is smaller than the sum of its proper divisors (3167772640).

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

2243131040 is a wasteful number, since it uses less digits than its factorization.

2243131040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2243131040 is about 47361.7043612242. The cubic root of 2243131040 is about 1309.0358735514.

Adding to 2243131040 its reverse (401313422), we get a palindrome (2644444462).

The spelling of 2243131040 in words is "two billion, two hundred forty-three million, one hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 80 122 160 244 305 311 488 610 622 739 976 1220 1244 1478 1555 1952 2440 2488 2956 3110 3695 4880 4976 5912 6220 7390 9760 9952 11824 12440 14780 18971 23648 24880 29560 37942 45079 49760 59120 75884 90158 94855 118240 151768 180316 189710 225395 229829 303536 360632 379420 450790 459658 607072 721264 758840 901580 919316 1149145 1442528 1517680 1803160 1838632 2298290 3035360 3606320 3677264 4596580 7212640 7354528 9193160 14019569 18386320 28039138 36772640 56078276 70097845 112156552 140195690 224313104 280391380 448626208 560782760 1121565520 2243131040