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226292244768 = 2532280312
BaseRepresentation
bin1101001011000000010…
…0011010000100100000
3210122002200210002212200
43102300010122010200
512201421303313033
6251542432053200
722230506225562
oct3226004320440
9718080702780
10226292244768
1187a74088907
1237a34994200
13184544a6765
14ad49d2b332
155d46804013
hex34b011a120

226292244768 has 54 divisors (see below), whose sum is σ = 643541529267. Its totient is φ = 75428057280.

The previous prime is 226292244767. The next prime is 226292244809. The reversal of 226292244768 is 867442292622.

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.

226292244768 is a `hidden beast` number, since 2 + 2 + 62 + 92 + 24 + 476 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 113146122384 + 113146122384 = 336372^2 + 336372^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=336372.

It is not an unprimeable number, because it can be changed into a prime (226292244767) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8058913 + ... + 8086943.

Almost surely, 2226292244768 is an apocalyptic number.

It is an amenable number.

226292244768 is an abundant number, since it is smaller than the sum of its proper divisors (417249284499).

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

226292244768 is an frugal number, since it uses more digits than its factorization.

226292244768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56078 (or 28036 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The spelling of 226292244768 in words is "two hundred twenty-six billion, two hundred ninety-two million, two hundred forty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 28031 56062 84093 112124 168186 224248 252279 336372 448496 504558 672744 896992 1009116 1345488 2018232 2690976 4036464 8072928 785736961 1571473922 2357210883 3142947844 4714421766 6285895688 7071632649 9428843532 12571791376 14143265298 18857687064 25143582752 28286530596 37715374128 56573061192 75430748256 113146122384 226292244768