[go: up one dir, main page]

Search a number
-
+
225168816 = 24397137353
BaseRepresentation
bin11010110101111…
…00110110110000
3120200200202112210
431122330312300
5430120400231
634202052120
75402621565
oct1532746660
9520622483
10225168816
11106113734
12634aa040
133785a2b2
1421c9486c
1514b7ba46
hexd6bcdb0

225168816 has 80 divisors (see below), whose sum is σ = 593649504. Its totient is φ = 73531392.

The previous prime is 225168803. The next prime is 225168877. The reversal of 225168816 is 618861522.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 637696 + ... + 638048.

Almost surely, 2225168816 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 225168816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296824752).

225168816 is an abundant number, since it is smaller than the sum of its proper divisors (368480688).

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

225168816 is a wasteful number, since it uses less digits than its factorization.

225168816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 592 counting only the distinct ones).

The product of its digits is 46080, while the sum is 39.

The square root of 225168816 is about 15005.6261448831. The cubic root of 225168816 is about 608.3722760500.

The spelling of 225168816 in words is "two hundred twenty-five million, one hundred sixty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 97 137 194 274 291 353 388 411 548 582 706 776 822 1059 1096 1164 1412 1552 1644 2118 2192 2328 2824 3288 4236 4656 5648 6576 8472 13289 16944 26578 34241 39867 48361 53156 68482 79734 96722 102723 106312 136964 145083 159468 193444 205446 212624 273928 290166 318936 386888 410892 547856 580332 637872 773776 821784 1160664 1643568 2321328 4691017 9382034 14073051 18764068 28146102 37528136 56292204 75056272 112584408 225168816