Search a number
-
+
226744554528 = 25344721992
BaseRepresentation
bin1101001100101100000…
…1110101010000100000
3210200021012212211020000
43103023001311100200
512203333101221103
6252055350420000
722244640625122
oct3231301652040
9720235784200
10226744554528
1188186431928
1237b40361600
13184c710187b
14ad9002b212
155d7139baa3
hex34cb075420

226744554528 has 270 divisors, whose sum is σ = 684780622911. Its totient is φ = 73601675136.

The previous prime is 226744554521. The next prime is 226744554551. The reversal of 226744554528 is 825455447622.

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.

226744554528 is a `hidden beast` number, since 2 + 2 + 6 + 74 + 4 + 5 + 545 + 28 = 666.

It can be written as a sum of positive squares in only one way, i.e., 113372277264 + 113372277264 = 336708^2 + 336708^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=336708.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (226744554521) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1139419773 + ... + 1139419971.

Almost surely, 2226744554528 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 226744554528

226744554528 is an abundant number, since it is smaller than the sum of its proper divisors (458036068383).

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

226744554528 is an frugal number, since it uses more digits than its factorization.

226744554528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 251 counting only the distinct ones).

The product of its digits is 21504000, while the sum is 54.

The spelling of 226744554528 in words is "two hundred twenty-six billion, seven hundred forty-four million, five hundred fifty-four thousand, five hundred twenty-eight".