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2249445120 = 28351345061
BaseRepresentation
bin1000011000010011…
…1100111100000000
312210202201122121020
42012010330330000
514101324220440
61011113225440
7106512653016
oct20604747400
95722648536
102249445120
11a5483145a
12529402280
1329b054320
14174a6c8b6
15d27373d0
hex8613cf00

2249445120 has 144 divisors (see below), whose sum is σ = 7736965152. Its totient is φ = 553697280.

The previous prime is 2249445073. The next prime is 2249445137. The reversal of 2249445120 is 215449422.

It is a happy number.

It is a congruent number.

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, 27390 + ... + 72450.

Almost surely, 22249445120 is an apocalyptic number.

2249445120 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 2249445120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3868482576).

2249445120 is an abundant number, since it is smaller than the sum of its proper divisors (5487520032).

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

2249445120 is a wasteful number, since it uses less digits than its factorization.

2249445120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45098 (or 45084 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 2249445120 is about 47428.3155931138. The cubic root of 2249445120 is about 1310.2629699531.

The spelling of 2249445120 in words is "two billion, two hundred forty-nine million, four hundred forty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 256 260 312 320 384 390 416 480 520 624 640 768 780 832 960 1040 1248 1280 1560 1664 1920 2080 2496 3120 3328 3840 4160 4992 6240 8320 9984 12480 16640 24960 45061 49920 90122 135183 180244 225305 270366 360488 450610 540732 585793 675915 720976 901220 1081464 1171586 1351830 1441952 1757379 1802440 2162928 2343172 2703660 2883904 2928965 3514758 3604880 4325856 4686344 5407320 5767808 5857930 7029516 7209760 8651712 8786895 9372688 10814640 11535616 11715860 14059032 14419520 17303424 17573790 18745376 21629280 23431720 28118064 28839040 34606848 35147580 37490752 43258560 46863440 56236128 57678080 70295160 74981504 86517120 93726880 112472256 140590320 149963008 173034240 187453760 224944512 281180640 374907520 449889024 562361280 749815040 1124722560 2249445120