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2268013944 = 2337107281449
BaseRepresentation
bin1000011100101111…
…0010010101111000
312212001200001020110
42013023302111320
514121102421234
61013015224320
7110126541360
oct20713622570
95761601213
102268013944
11a64264499
125336780a0
132a1b561b1
141773039a0
15d41a41e9
hex872f2578

2268013944 has 128 divisors (see below), whose sum is σ = 6578496000. Its totient is φ = 638238720.

The previous prime is 2268013897. The next prime is 2268013981. The reversal of 2268013944 is 4493108622.

2268013944 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5051032 + ... + 5051480.

It is an arithmetic number, because the mean of its divisors is an integer number (51394500).

Almost surely, 22268013944 is an apocalyptic number.

2268013944 is a gapful number since it is divisible by the number (24) 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 2268013944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3289248000).

2268013944 is an abundant number, since it is smaller than the sum of its proper divisors (4310482056).

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

2268013944 is a wasteful number, since it uses less digits than its factorization.

2268013944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 2268013944 is about 47623.6699971768. The cubic root of 2268013944 is about 1313.8584345541.

The spelling of 2268013944 in words is "two billion, two hundred sixty-eight million, thirteen thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 107 168 214 281 321 428 449 562 642 749 843 856 898 1124 1284 1347 1498 1686 1796 1967 2247 2248 2568 2694 2996 3143 3372 3592 3934 4494 5388 5901 5992 6286 6744 7868 8988 9429 10776 11802 12572 15736 17976 18858 23604 25144 30067 37716 47208 48043 60134 75432 90201 96086 120268 126169 144129 180402 192172 210469 240536 252338 288258 336301 360804 378507 384344 420938 504676 576516 631407 672602 721608 757014 841876 883183 1008903 1009352 1153032 1262814 1345204 1514028 1683752 1766366 2017806 2525628 2649549 2690408 3028056 3532732 4035612 5051256 5299098 7065464 8071224 10598196 13500083 21196392 27000166 40500249 54000332 81000498 94500581 108000664 162000996 189001162 283501743 324001992 378002324 567003486 756004648 1134006972 2268013944