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2249028240 = 243523939209
BaseRepresentation
bin1000011000001101…
…0111001010010000
312210201221110202020
42012003113022100
514101222400430
61011100251440
7106506265434
oct20603271220
95721843666
102249028240
11a54577228
12529240b80
1329ac39654
141749a09c4
15d26a3b10
hex860d7290

2249028240 has 80 divisors (see below), whose sum is σ = 7001337600. Its totient is φ = 597216256.

The previous prime is 2249028217. The next prime is 2249028241. The reversal of 2249028240 is 428209422.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2249028241) 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, 37756 + ... + 76964.

It is an arithmetic number, because the mean of its divisors is an integer number (87516720).

Almost surely, 22249028240 is an apocalyptic number.

2249028240 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 2249028240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3500668800).

2249028240 is an abundant number, since it is smaller than the sum of its proper divisors (4752309360).

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

2249028240 is a wasteful number, since it uses less digits than its factorization.

2249028240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39464 (or 39458 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 2249028240 is about 47423.9205464921. The cubic root of 2249028240 is about 1310.1820231501.

The spelling of 2249028240 in words is "two billion, two hundred forty-nine million, twenty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 239 240 478 717 956 1195 1434 1912 2390 2868 3585 3824 4780 5736 7170 9560 11472 14340 19120 28680 39209 57360 78418 117627 156836 196045 235254 313672 392090 470508 588135 627344 784180 941016 1176270 1568360 1882032 2352540 3136720 4705080 9370951 9410160 18741902 28112853 37483804 46854755 56225706 74967608 93709510 112451412 140564265 149935216 187419020 224902824 281128530 374838040 449805648 562257060 749676080 1124514120 2249028240