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2248044288 = 28372318181
BaseRepresentation
bin1000010111111110…
…0110111100000000
312210200002111000120
42011333212330000
514100444404123
61011023220240
7106465026660
oct20577467400
95720074016
102248044288
11a53a64a46
12528a47680
1329a983829
141747c61a0
15d255c2e3
hex85fe6f00

2248044288 has 144 divisors (see below), whose sum is σ = 7135489536. Its totient is φ = 614338560.

The previous prime is 2248044269. The next prime is 2248044307. The reversal of 2248044288 is 8824408422.

2248044288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2248044269) and next prime (2248044307).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 114558 + ... + 132738.

Almost surely, 22248044288 is an apocalyptic number.

2248044288 is a gapful number since it is divisible by the number (28) 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 2248044288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3567744768).

2248044288 is an abundant number, since it is smaller than the sum of its proper divisors (4887445248).

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

2248044288 is a wasteful number, since it uses less digits than its factorization.

2248044288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18230 (or 18216 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 42.

The square root of 2248044288 is about 47413.5454063499. The cubic root of 2248044288 is about 1309.9909266508.

The spelling of 2248044288 in words is "two billion, two hundred forty-eight million, forty-four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 128 138 161 168 184 192 224 256 276 322 336 368 384 448 483 552 644 672 736 768 896 966 1104 1288 1344 1472 1792 1932 2208 2576 2688 2944 3864 4416 5152 5376 5888 7728 8832 10304 15456 17664 18181 20608 30912 36362 41216 54543 61824 72724 109086 123648 127267 145448 218172 254534 290896 381801 418163 436344 509068 581792 763602 836326 872688 1018136 1163584 1254489 1527204 1672652 1745376 2036272 2327168 2508978 2927141 3054408 3345304 3490752 4072544 4654336 5017956 5854282 6108816 6690608 6981504 8145088 8781423 10035912 11708564 12217632 13381216 13963008 16290176 17562846 20071824 23417128 24435264 26762432 32580352 35125692 40143648 46834256 48870528 53524864 70251384 80287296 93668512 97741056 107049728 140502768 160574592 187337024 281005536 321149184 374674048 562011072 749348096 1124022144 2248044288