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226321344 = 2633130973
BaseRepresentation
bin11010111110101…
…10001111000000
3120202212022112000
431133112033000
5430414240334
634242504000
75415461664
oct1537261700
9522768460
10226321344
11106830637
1263965000
1337b71a72
14220b48a4
1514d08299
hexd7d63c0

226321344 has 56 divisors (see below), whose sum is σ = 665347920. Its totient is φ = 75439872.

The previous prime is 226321339. The next prime is 226321349. The reversal of 226321344 is 443123622.

226321344 is a `hidden beast` number, since 22 + 632 + 1 + 3 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (226321339) and next prime (226321349).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226321349) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63759 + ... + 67214.

Almost surely, 2226321344 is an apocalyptic number.

226321344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

226321344 is an abundant number, since it is smaller than the sum of its proper divisors (439026576).

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

226321344 is a wasteful number, since it uses less digits than its factorization.

226321344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130994 (or 130978 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 226321344 is about 15043.9803243689. The cubic root of 226321344 is about 609.4084958629.

Adding to 226321344 its reverse (443123622), we get a palindrome (669444966).

The spelling of 226321344 in words is "two hundred twenty-six million, three hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 130973 261946 392919 523892 785838 1047784 1178757 1571676 2095568 2357514 3143352 3536271 4191136 4715028 6286704 7072542 8382272 9430056 12573408 14145084 18860112 25146816 28290168 37720224 56580336 75440448 113160672 226321344