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228293353472 = 21352792
BaseRepresentation
bin1101010010011101011…
…0000010000000000000
3210211021011012221221212
43110213112002000000
512220021044302342
6252513154505252
722331215326002
oct3244726020000
9724234187855
10228293353472
1188900712458
12382b2b95228
13186b2c4b652
14b0999d4372
155e12335182
hex3527582000

228293353472 has 42 divisors (see below), whose sum is σ = 456645341343. Its totient is φ = 114125053952.

The previous prime is 228293353433. The next prime is 228293353489. The reversal of 228293353472 is 274353392822.

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., 114146676736 + 114146676736 = 337856^2 + 337856^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=337856.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 228293353472.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 43242929 + ... + 43248207.

Almost surely, 2228293353472 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 228293353472

228293353472 is an abundant number, since it is smaller than the sum of its proper divisors (228351987871).

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

228293353472 is an frugal number, since it uses more digits than its factorization.

228293353472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10584 (or 5281 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 50.

Multiplying 228293353472 by its sum of digits (50), we get a square (11414667673600 = 33785602).

The spelling of 228293353472 in words is "two hundred twenty-eight billion, two hundred ninety-three million, three hundred fifty-three thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 5279 8192 10558 21116 42232 84464 168928 337856 675712 1351424 2702848 5405696 10811392 21622784 27867841 43245568 55735682 111471364 222942728 445885456 891770912 1783541824 3567083648 7134167296 14268334592 28536669184 57073338368 114146676736 228293353472