Search a number
-
+
2149156881 = 361721012
BaseRepresentation
bin1000000000011001…
…1000100000010001
312112210000111000000
42000012120200101
513400141010011
6553131520213
7104154350334
oct20006304021
95483014000
102149156881
11a03163413
124bb8b9069
1328333c581
1416560461b
15c8a27356
hex80198811

2149156881 has 63 divisors (see below), whose sum is σ = 3457181953. Its totient is φ = 1335139200.

The previous prime is 2149156873. The next prime is 2149156897. The reversal of 2149156881 is 1886519412.

It is a happy number.

The square root of 2149156881 is 46359.

It is a perfect power (a square), and thus also a powerful number.

2149156881 is a `hidden beast` number, since 2 + 1 + 4 + 9 + 1 + 568 + 81 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1279850625 + 869306256 = 35775^2 + 29484^2 .

It is not a de Polignac number, because 2149156881 - 23 = 2149156873 is a prime.

It is a super-2 number, since 2×21491568812 = 9237750598299296322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2149156381) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 21278731 + ... + 21278831.

Almost surely, 22149156881 is an apocalyptic number.

2149156881 is the 46359-th square number.

2149156881 is the 23180-th centered octagonal number.

It is an amenable number.

2149156881 is a deficient number, since it is larger than the sum of its proper divisors (1308025072).

2149156881 is an frugal number, since it uses more digits than its factorization.

2149156881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 121 counting only the distinct ones).

The product of its digits is 138240, while the sum is 45.

The cubic root of 2149156881 is about 1290.4941481669.

The spelling of 2149156881 in words is "two billion, one hundred forty-nine million, one hundred fifty-six thousand, eight hundred eighty-one".

Divisors: 1 3 9 17 27 51 81 101 153 243 289 303 459 729 867 909 1377 1717 2601 2727 4131 5151 7803 8181 10201 12393 15453 23409 24543 29189 30603 46359 70227 73629 87567 91809 139077 173417 210681 262701 275427 417231 520251 788103 826281 1251693 1560753 2364309 2478843 2948089 4682259 7092927 7436529 8844267 14046777 21278781 26532801 42140331 79598403 126420993 238795209 716385627 2149156881