Search a number
-
+
2021774144 = 261316714551
BaseRepresentation
bin111100010000001…
…1101001101000000
312012220022202201212
41320200131031000
513120033233034
6532341345252
7101046540155
oct17040351500
95186282655
102021774144
11948269925
12485108228
13262b2c180
1415272622c
15bc7642ce
hex7881d340

2021774144 has 56 divisors (see below), whose sum is σ = 4346740608. Its totient is φ = 927475200.

The previous prime is 2021774123. The next prime is 2021774177. The reversal of 2021774144 is 4414771202.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 2021774144.

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, 131669 + ... + 146219.

It is an arithmetic number, because the mean of its divisors is an integer number (77620368).

Almost surely, 22021774144 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 2021774144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2173370304).

2021774144 is an abundant number, since it is smaller than the sum of its proper divisors (2324966464).

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

2021774144 is a wasteful number, since it uses less digits than its factorization.

2021774144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14743 (or 14733 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 32.

The square root of 2021774144 is about 44964.1428696245. The cubic root of 2021774144 is about 1264.4768403332.

The spelling of 2021774144 in words is "two billion, twenty-one million, seven hundred seventy-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 167 208 334 416 668 832 1336 2171 2672 4342 5344 8684 10688 14551 17368 29102 34736 58204 69472 116408 138944 189163 232816 378326 465632 756652 931264 1513304 2430017 3026608 4860034 6053216 9720068 12106432 19440136 31590221 38880272 63180442 77760544 126360884 155521088 252721768 505443536 1010887072 2021774144