Search a number
-
+
2027447202 = 231126741681
BaseRepresentation
bin111100011011000…
…0110001110100010
312020021222222201010
41320312012032202
513123011302302
6533103121350
7101146005534
oct17066061642
95207888633
102027447202
11950494100
12486ba3256
13264067401
141533a1854
15bced516c
hex78d863a2

2027447202 has 48 divisors (see below), whose sum is σ = 4523664096. Its totient is φ = 605193600.

The previous prime is 2027447173. The next prime is 2027447249.

2027447202 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×20274472022 = 8221084313795257608, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2027447202.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27802 + ... + 69482.

It is an arithmetic number, because the mean of its divisors is an integer number (94243002).

Almost surely, 22027447202 is an apocalyptic number.

2027447202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2027447202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2261832048).

2027447202 is an abundant number, since it is smaller than the sum of its proper divisors (2496216894).

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

2027447202 is a wasteful number, since it uses less digits than its factorization.

2027447202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41775 (or 41764 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 30.

The square root of 2027447202 is about 45027.1829232076. The cubic root of 2027447202 is about 1265.6584347918.

It can be divided in two parts, 20274 and 47202, that added together give a palindrome (67476).

The spelling of 2027447202 in words is "two billion, twenty-seven million, four hundred forty-seven thousand, two hundred two".

Divisors: 1 2 3 6 11 22 33 66 67 121 134 201 242 363 402 726 737 1474 2211 4422 8107 16214 24321 41681 48642 83362 125043 250086 458491 916982 1375473 2750946 2792627 5043401 5585254 8377881 10086802 15130203 16755762 30260406 30718897 61437794 92156691 184313382 337907867 675815734 1013723601 2027447202