Search a number
-
+
2285258688 = 263219919937
BaseRepresentation
bin1000100000110110…
…0100011111000000
312220021010011120200
42020031210133000
514140011234223
61014433005200
7110426243526
oct21015443700
95807104520
102285258688
11a72a72749
125393b3800
132a55b349b
14179712316
15d595da43
hex883647c0

2285258688 has 84 divisors (see below), whose sum is σ = 6583527600. Its totient is φ = 757886976.

The previous prime is 2285258669. The next prime is 2285258797. The reversal of 2285258688 is 8868525822.

2285258688 is a `hidden beast` number, since 2 + 2 + 8 + 52 + 586 + 8 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104656 + ... + 124592.

Almost surely, 22285258688 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 2285258688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3291763800).

2285258688 is an abundant number, since it is smaller than the sum of its proper divisors (4298268912).

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

2285258688 is a wasteful number, since it uses less digits than its factorization.

2285258688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20154 (or 20141 counting only the distinct ones).

The product of its digits is 4915200, while the sum is 54.

The square root of 2285258688 is about 47804.3793809730. The cubic root of 2285258688 is about 1317.1799851912.

The spelling of 2285258688 in words is "two billion, two hundred eighty-five million, two hundred fifty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 199 288 398 576 597 796 1194 1592 1791 2388 3184 3582 4776 6368 7164 9552 12736 14328 19104 19937 28656 38208 39874 57312 59811 79748 114624 119622 159496 179433 239244 318992 358866 478488 637984 717732 956976 1275968 1435464 1913952 2870928 3827904 3967463 5741856 7934926 11483712 11902389 15869852 23804778 31739704 35707167 47609556 63479408 71414334 95219112 126958816 142828668 190438224 253917632 285657336 380876448 571314672 761752896 1142629344 2285258688