Search a number
-
+
2285981664 = 25331768139
BaseRepresentation
bin1000100001000001…
…0100111111100000
312220022110220022120
42020100110333200
514140202403124
61014500304240
7110435344401
oct21020247740
95808426276
102285981664
11a7341694a
125396a2080
132a57a7595
1417985d9a8
15d5a52d79
hex88414fe0

2285981664 has 48 divisors (see below), whose sum is σ = 6194280960. Its totient is φ = 737412480.

The previous prime is 2285981647. The next prime is 2285981717. The reversal of 2285981664 is 4661895822.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 381094 + ... + 387045.

It is an arithmetic number, because the mean of its divisors is an integer number (129047520).

Almost surely, 22285981664 is an apocalyptic number.

2285981664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2285981664 is an abundant number, since it is smaller than the sum of its proper divisors (3908299296).

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

2285981664 is a wasteful number, since it uses less digits than its factorization.

2285981664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768183 (or 768175 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 51.

The square root of 2285981664 is about 47811.9406006491. The cubic root of 2285981664 is about 1317.3188737870.

The spelling of 2285981664 in words is "two billion, two hundred eighty-five million, nine hundred eighty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 768139 1536278 2304417 3072556 4608834 6145112 9217668 12290224 18435336 23812309 24580448 36870672 47624618 71436927 73741344 95249236 142873854 190498472 285747708 380996944 571495416 761993888 1142990832 2285981664