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226433232 = 2439719
BaseRepresentation
bin11010111111100…
…01100011010000
3120210002000000000
431133301203100
5430431330412
634245130000
75416436124
oct1537614320
9523060000
10226433232
111068a7703
12639b9900
1337bb097c
1422103584
1514d2b4dc
hexd7f18d0

226433232 has 100 divisors (see below), whose sum is σ = 658975680. Its totient is φ = 75372768.

The previous prime is 226433167. The next prime is 226433261. The reversal of 226433232 is 232334622.

226433232 is a `hidden beast` number, since 226 + 433 + 2 + 3 + 2 = 666.

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 junction number, because it is equal to n+sod(n) for n = 226433196 and 226433205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 314569 + ... + 315287.

Almost surely, 2226433232 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 226433232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329487840).

226433232 is an abundant number, since it is smaller than the sum of its proper divisors (432542448).

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

226433232 is an frugal number, since it uses more digits than its factorization.

226433232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 724 counting only the distinct ones).

The product of its digits is 10368, while the sum is 27.

The square root of 226433232 is about 15047.6985615741. The cubic root of 226433232 is about 609.5089051059.

Adding to 226433232 its reverse (232334622), we get a palindrome (458767854).

The spelling of 226433232 in words is "two hundred twenty-six million, four hundred thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 719 729 972 1296 1438 1458 1944 2157 2187 2876 2916 3888 4314 4374 5752 5832 6471 6561 8628 8748 11504 11664 12942 13122 17256 17496 19413 19683 25884 26244 34512 34992 38826 39366 51768 52488 58239 77652 78732 103536 104976 116478 155304 157464 174717 232956 310608 314928 349434 465912 524151 698868 931824 1048302 1397736 1572453 2096604 2795472 3144906 4193208 4717359 6289812 8386416 9434718 12579624 14152077 18869436 25159248 28304154 37738872 56608308 75477744 113216616 226433232