Search a number
-
+
228131211392 = 27723721632
BaseRepresentation
bin1101010001110110101…
…1100000100010000000
3210210211212010021211122
43110131223200202000
512214203042231032
6252445123331412
722324206205400
oct3243553404200
9723755107748
10228131211392
1188828137737
1238268820b68
131868848aba6
14b082268800
155e02ea8012
hex351dae0880

228131211392 has 216 divisors, whose sum is σ = 546709766085. Its totient is φ = 94544464896.

The previous prime is 228131211379. The next prime is 228131211431. The reversal of 228131211392 is 293112131822.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 184054728256 + 44076483136 = 429016^2 + 209944^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=337736.

It is a super-2 number, since 2×2281312113922 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1399577903 + ... + 1399578065.

Almost surely, 2228131211392 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 228131211392

228131211392 is an abundant number, since it is smaller than the sum of its proper divisors (318578554693).

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

228131211392 is an frugal number, since it uses more digits than its factorization.

228131211392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 209 counting only the distinct ones).

The product of its digits is 10368, while the sum is 35.

The spelling of 228131211392 in words is "two hundred twenty-eight billion, one hundred thirty-one million, two hundred eleven thousand, three hundred ninety-two".