Search a number
-
+
229943711250 = 234541121372
BaseRepresentation
bin1101011000100110110…
…1101001011000010010
3210222112011122211020000
43112021231221120102
512231411042230000
6253345031430430
722420135203501
oct3261155513022
9728464584200
10229943711250
1189578259700
1238693825416
13188b6b36606
14b1b4c76838
155eac180000
hex3589b69612

229943711250 has 450 divisors, whose sum is σ = 712905432393. Its totient is φ = 55337040000.

The previous prime is 229943711233. The next prime is 229943711279. The reversal of 229943711250 is 52117349922.

229943711250 is a `hidden beast` number, since 2 + 2 + 99 + 437 + 1 + 125 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 8715529449 + 221228181801 = 93357^2 + 470349^2 .

It is a tau number, because it is divible by the number of its divisors (450).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=339075.

It is a super-2 number, since 2×2299437112502 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 229943711196 and 229943711205.

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 1678421182 + ... + 1678421318.

Almost surely, 2229943711250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229943711250

229943711250 is an abundant number, since it is smaller than the sum of its proper divisors (482961721143).

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

229943711250 is an equidigital number, since it uses as much as digits as its factorization.

229943711250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 229943711250 in words is "two hundred twenty-nine billion, nine hundred forty-three million, seven hundred eleven thousand, two hundred fifty".