Search a number
-
+
226410663200 = 2552168232
BaseRepresentation
bin1101001011011100100…
…0001000110100100000
3210122101221121101102112
43102313020020310200
512202142112210300
6252002302134452
722233444612041
oct3226710106440
9718357541375
10226410663200
1188024a0a387
1237a68581428
1318472b98837
14ad5b9548c8
155d51de5e35
hex34b7208d20

226410663200 has 54 divisors (see below), whose sum is σ = 552757888809. Its totient is φ = 90558881920.

The previous prime is 226410663169. The next prime is 226410663203. The reversal of 226410663200 is 2366014622.

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 2 ways, for example, as 221882449936 + 4528213264 = 471044^2 + 67292^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=336460.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (226410663203) 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, 13449989 + ... + 13466811.

Almost surely, 2226410663200 is an apocalyptic number.

226410663200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226410663200 is an abundant number, since it is smaller than the sum of its proper divisors (326347225609).

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

226410663200 is an frugal number, since it uses more digits than its factorization.

226410663200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33666 (or 16830 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Multiplying 226410663200 by its sum of digits (32), we get a square (7245141222400 = 26916802).

226410663200 divided by its sum of digits (32) gives a square (7075333225 = 841152).

Adding to 226410663200 its reverse (2366014622), we get a palindrome (228776677822).

The spelling of 226410663200 in words is "two hundred twenty-six billion, four hundred ten million, six hundred sixty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 16823 33646 67292 84115 134584 168230 269168 336460 420575 538336 672920 841150 1345840 1682300 2691680 3364600 6729200 13458400 283013329 566026658 1132053316 1415066645 2264106632 2830133290 4528213264 5660266580 7075333225 9056426528 11320533160 14150666450 22641066320 28301332900 45282132640 56602665800 113205331600 226410663200