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2249423040 = 26353317079
BaseRepresentation
bin1000011000010011…
…0111100011000000
312210202200112022110
42012010313203000
514101323014130
61011112535320
7106512531444
oct20604674300
95722615273
102249423040
11a54816907
125293b1540
1329b047267
14174a64824
15d2730ab0
hex861378c0

2249423040 has 112 divisors (see below), whose sum is σ = 7164506880. Its totient is φ = 597949440.

The previous prime is 2249423039. The next prime is 2249423047. The reversal of 2249423040 is 403249422.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2249422989 and 2249423007.

It is not an unprimeable number, because it can be changed into a prime (2249423047) 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, 314221 + ... + 321299.

Almost surely, 22249423040 is an apocalyptic number.

2249423040 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 2249423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3582253440).

2249423040 is an abundant number, since it is smaller than the sum of its proper divisors (4915083840).

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

2249423040 is a wasteful number, since it uses less digits than its factorization.

2249423040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7430 (or 7420 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 2249423040 is about 47428.0828202026. The cubic root of 2249423040 is about 1310.2586828661.

The spelling of 2249423040 in words is "two billion, two hundred forty-nine million, four hundred twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 331 480 662 960 993 1324 1655 1986 2648 3310 3972 4965 5296 6620 7079 7944 9930 10592 13240 14158 15888 19860 21184 21237 26480 28316 31776 35395 39720 42474 52960 56632 63552 70790 79440 84948 105920 106185 113264 141580 158880 169896 212370 226528 283160 317760 339792 424740 453056 566320 679584 849480 1132640 1359168 1698960 2265280 2343149 3397920 4686298 6795840 7029447 9372596 11715745 14058894 18745192 23431490 28117788 35147235 37490384 46862980 56235576 70294470 74980768 93725960 112471152 140588940 149961536 187451920 224942304 281177880 374903840 449884608 562355760 749807680 1124711520 2249423040