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225115056 = 243231211239
BaseRepresentation
bin11010110101011…
…11101110110000
3120200121000210200
431122233232300
5430112140211
634200555200
75402306055
oct1532575660
9520530720
10225115056
11106087301
1263482b00
133783b99a
1421c7d02c
1514b6ab56
hexd6afbb0

225115056 has 120 divisors (see below), whose sum is σ = 656148480. Its totient is φ = 71971200.

The previous prime is 225115043. The next prime is 225115057. The reversal of 225115056 is 650511522.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (225115057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 941785 + ... + 942023.

It is an arithmetic number, because the mean of its divisors is an integer number (5467904).

Almost surely, 2225115056 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 225115056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328074240).

225115056 is an abundant number, since it is smaller than the sum of its proper divisors (431033424).

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

225115056 is a wasteful number, since it uses less digits than its factorization.

225115056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 225115056 is about 15003.8347098333. The cubic root of 225115056 is about 608.3238550513.

Adding to 225115056 its reverse (650511522), we get a palindrome (875626578).

The spelling of 225115056 in words is "two hundred twenty-five million, one hundred fifteen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 211 239 248 279 372 422 478 496 558 633 717 744 844 956 1116 1266 1434 1488 1688 1899 1912 2151 2232 2532 2868 3376 3798 3824 4302 4464 5064 5736 6541 7409 7596 8604 10128 11472 13082 14818 15192 17208 19623 22227 26164 29636 30384 34416 39246 44454 50429 52328 58869 59272 66681 78492 88908 100858 104656 117738 118544 133362 151287 156984 177816 201716 235476 266724 302574 313968 355632 403432 453861 470952 533448 605148 806864 907722 941904 1066896 1210296 1563299 1815444 2420592 3126598 3630888 4689897 6253196 7261776 9379794 12506392 14069691 18759588 25012784 28139382 37519176 56278764 75038352 112557528 225115056