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225424056 = 2331113193457
BaseRepresentation
bin11010110111110…
…11001010111000
3120201011201200010
431123323022320
5430202032211
634211341520
75405033664
oct1533731270
9521151603
10225424056
11106278480
12635b18a0
1337919520
1421d1d8a4
1514bcc4a6
hexd6fb2b8

225424056 has 128 divisors (see below), whose sum is σ = 697132800. Its totient is φ = 59719680.

The previous prime is 225424019. The next prime is 225424057. The reversal of 225424056 is 650424522.

It is a happy number.

It is a super-2 number, since 2×2254240562 = 101632010046982272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225424057) 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 31 ways as a sum of consecutive naturals, for example, 63480 + ... + 66936.

It is an arithmetic number, because the mean of its divisors is an integer number (5446350).

Almost surely, 2225424056 is an apocalyptic number.

225424056 is a gapful number since it is divisible by the number (26) 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 225424056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348566400).

225424056 is an abundant number, since it is smaller than the sum of its proper divisors (471708744).

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

225424056 is a wasteful number, since it uses less digits than its factorization.

225424056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3509 (or 3505 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 225424056 is about 15014.1285461395. The cubic root of 225424056 is about 608.6020626112.

Adding to 225424056 its reverse (650424522), we get a palindrome (875848578).

The spelling of 225424056 in words is "two hundred twenty-five million, four hundred twenty-four thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 13 19 22 24 26 33 38 39 44 52 57 66 76 78 88 104 114 132 143 152 156 209 228 247 264 286 312 418 429 456 494 572 627 741 836 858 988 1144 1254 1482 1672 1716 1976 2508 2717 2964 3432 3457 5016 5434 5928 6914 8151 10371 10868 13828 16302 20742 21736 27656 32604 38027 41484 44941 65208 65683 76054 82968 89882 114081 131366 134823 152108 179764 197049 228162 262732 269646 304216 359528 394098 456324 494351 525464 539292 722513 788196 853879 912648 988702 1078584 1445026 1483053 1576392 1707758 1977404 2167539 2561637 2890052 2966106 3415516 3954808 4335078 5123274 5780104 5932212 6831032 8670156 9392669 10246548 11864424 17340312 18785338 20493096 28178007 37570676 56356014 75141352 112712028 225424056