Search a number
-
+
2280070848 = 263117431453
BaseRepresentation
bin1000011111100111…
…0001111011000000
312212220100121012110
42013321301323000
514132144231343
61014125455320
7110334165606
oct20771617300
95786317173
102280070848
11a70049a80
12537711540
132a44b8063
14178b61876
15d5286833
hex87e71ec0

2280070848 has 112 divisors (see below), whose sum is σ = 6594506496. Its totient is φ = 689525760.

The previous prime is 2280070843. The next prime is 2280070867. The reversal of 2280070848 is 8480700822.

2280070848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2280070843) 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, 1568490 + ... + 1569942.

Almost surely, 22280070848 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 2280070848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3297253248).

2280070848 is an abundant number, since it is smaller than the sum of its proper divisors (4314435648).

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

2280070848 is a wasteful number, since it uses less digits than its factorization.

2280070848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2222 (or 2212 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The square root of 2280070848 is about 47750.0874135326. The cubic root of 2280070848 is about 1316.1825056457.

The spelling of 2280070848 in words is "two billion, two hundred eighty million, seventy thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 743 1056 1453 1486 2112 2229 2906 2972 4359 4458 5812 5944 8173 8718 8916 11624 11888 15983 16346 17436 17832 23248 23776 24519 31966 32692 34872 35664 46496 47552 47949 49038 63932 65384 69744 71328 92992 95898 98076 127864 130768 139488 142656 191796 196152 255728 261536 278976 383592 392304 511456 523072 767184 784608 1022912 1079579 1534368 1569216 2159158 3068736 3238737 4318316 6477474 8636632 11875369 12954948 17273264 23750738 25909896 34546528 35626107 47501476 51819792 69093056 71252214 95002952 103639584 142504428 190005904 207279168 285008856 380011808 570017712 760023616 1140035424 2280070848