Search a number
-
+
227753103872 = 29722321312
BaseRepresentation
bin1101010000011100100…
…1001001001000000000
3210202212111122102211102
43110013021021020000
512212414243310442
6252343415233532
722311635304200
oct3240711111000
9722774572742
10227753103872
1188653764988
12381820788a8
1318628043228
14b047d62400
155dcebbb232
hex3507249200

227753103872 has 270 divisors, whose sum is σ = 557629784019. Its totient is φ = 92651919360.

The previous prime is 227753103869. The next prime is 227753103881. The reversal of 227753103872 is 278301357722.

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 only one way, i.e., 113876551936 + 113876551936 = 337456^2 + 337456^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=337456.

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, 1738573247 + ... + 1738573377.

Almost surely, 2227753103872 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 227753103872

227753103872 is an abundant number, since it is smaller than the sum of its proper divisors (329876680147).

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

227753103872 is an frugal number, since it uses more digits than its factorization.

227753103872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 47.

The spelling of 227753103872 in words is "two hundred twenty-seven billion, seven hundred fifty-three million, one hundred three thousand, eight hundred seventy-two".