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2280001308 = 22313217411613
BaseRepresentation
bin1000011111100110…
…0000111100011100
312212220020001210220
42013321200330130
514132140020213
61014124201340
7110333456064
oct20771407434
95786201726
102280001308
11a70001802
12537699250
132a4492500
14178b443a4
15d5270e23
hex87e60f1c

2280001308 has 144 divisors (see below), whose sum is σ = 6252222816. Its totient is φ = 643768320.

The previous prime is 2280001301. The next prime is 2280001337. The reversal of 2280001308 is 8031000822.

2280001308 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2280001301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1412710 + ... + 1414322.

It is an arithmetic number, because the mean of its divisors is an integer number (43418214).

Almost surely, 22280001308 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2280001308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3126111408).

2280001308 is an abundant number, since it is smaller than the sum of its proper divisors (3972221508).

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

2280001308 is a wasteful number, since it uses less digits than its factorization.

2280001308 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1704 (or 1689 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 2280001308 is about 47749.3592417741. The cubic root of 2280001308 is about 1316.1691247367.

The spelling of 2280001308 in words is "two billion, two hundred eighty million, one thousand, three hundred eight".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 41 51 52 68 78 82 102 123 156 164 169 204 221 246 338 442 492 507 533 663 676 697 884 1014 1066 1326 1394 1599 1613 2028 2091 2132 2652 2788 2873 3198 3226 4182 4839 5746 6396 6452 6929 8364 8619 9061 9678 11492 13858 17238 18122 19356 20787 20969 27183 27421 27716 34476 36244 41574 41938 54366 54842 62907 66133 82263 83148 83876 108732 109684 117793 125814 132266 164526 198399 235586 251628 264532 272597 329052 353379 356473 396798 471172 545194 706758 712946 793596 817791 859729 1069419 1090388 1124261 1413516 1425892 1635582 1719458 2138838 2248522 2579187 3271164 3372783 3438916 4277676 4497044 4634149 5158374 6745566 9268298 10316748 11176477 13491132 13902447 14615393 18536596 22352954 27804894 29230786 33529431 43846179 44705908 55609788 58461572 67058862 87692358 134117724 175384716 190000109 380000218 570000327 760000436 1140000654 2280001308