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226205232 = 243112571667
BaseRepresentation
bin11010111101110…
…01111000110000
3120202122102020120
431132321320300
5430402031412
634240210240
75414466321
oct1536717060
9522572216
10226205232
11106761380
1263909980
1337b30c66
1422084448
1514cd3b8c
hexd7b9e30

226205232 has 80 divisors (see below), whose sum is σ = 640351872. Its totient is φ = 68239360.

The previous prime is 226205209. The next prime is 226205237. The reversal of 226205232 is 232502622.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (226205237) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134863 + ... + 136529.

Almost surely, 2226205232 is an apocalyptic number.

226205232 is a gapful number since it is divisible by the number (22) 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 226205232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320175936).

226205232 is an abundant number, since it is smaller than the sum of its proper divisors (414146640).

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

226205232 is a wasteful number, since it uses less digits than its factorization.

226205232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1946 (or 1940 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 226205232 is about 15040.1207441962. The cubic root of 226205232 is about 609.3042609694.

Adding to 226205232 its reverse (232502622), we get a palindrome (458707854).

The spelling of 226205232 in words is "two hundred twenty-six million, two hundred five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 257 264 514 528 771 1028 1542 1667 2056 2827 3084 3334 4112 5001 5654 6168 6668 8481 10002 11308 12336 13336 16962 18337 20004 22616 26672 33924 36674 40008 45232 55011 67848 73348 80016 110022 135696 146696 220044 293392 428419 440088 856838 880176 1285257 1713676 2570514 3427352 4712609 5141028 6854704 9425218 10282056 14137827 18850436 20564112 28275654 37700872 56551308 75401744 113102616 226205232