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226520064 = 210342731
BaseRepresentation
bin11011000000001…
…10110000000000
3120210020102010000
431200012300000
5430442120224
634251040000
75420250231
oct1540066000
9523212100
10226520064
11106956971
1263a40000
1337c11354
1422127088
1514d470c9
hexd806c00

226520064 has 110 divisors (see below), whose sum is σ = 676680884. Its totient is φ = 75479040.

The previous prime is 226520027. The next prime is 226520089. The reversal of 226520064 is 460025622.

226520064 is a `hidden beast` number, since 2 + 2 + 652 + 0 + 0 + 6 + 4 = 666.

It is a super-2 number, since 2×2265200642 = 102622678789128192, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 81579 + ... + 84309.

Almost surely, 2226520064 is an apocalyptic number.

226520064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226520064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338340442).

226520064 is an abundant number, since it is smaller than the sum of its proper divisors (450160820).

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

226520064 is an equidigital number, since it uses as much as digits as its factorization.

226520064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2763 (or 2736 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 226520064 is about 15050.5835102829. The cubic root of 226520064 is about 609.5868060881.

Adding to 226520064 its reverse (460025622), we get a palindrome (686545686).

The spelling of 226520064 in words is "two hundred twenty-six million, five hundred twenty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2304 2592 2731 3072 3456 4608 5184 5462 6912 8193 9216 10368 10924 13824 16386 20736 21848 24579 27648 32772 41472 43696 49158 65544 73737 82944 87392 98316 131088 147474 174784 196632 221211 262176 294948 349568 393264 442422 524352 589896 699136 786528 884844 1048704 1179792 1398272 1573056 1769688 2097408 2359584 2796544 3146112 3539376 4194816 4719168 6292224 7078752 8389632 9438336 12584448 14157504 18876672 25168896 28315008 37753344 56630016 75506688 113260032 226520064