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226795008 = 2931131433
BaseRepresentation
bin11011000010010…
…01111000000000
3120210202101021010
431201021320000
5431024420013
634301000520
75422503636
oct1541117000
9523671233
10226795008
111070244a0
1263b53140
1337ca953b
1422199356
1514d9d7c3
hexd849e00

226795008 has 160 divisors (see below), whose sum is σ = 681956352. Its totient is φ = 66355200.

The previous prime is 226795007. The next prime is 226795033. The reversal of 226795008 is 800597622.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226795007) 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, 523560 + ... + 523992.

Almost surely, 2226795008 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 226795008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340978176).

226795008 is an abundant number, since it is smaller than the sum of its proper divisors (455161344).

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

226795008 is a wasteful number, since it uses less digits than its factorization.

226795008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 226795008 is about 15059.7147383342. The cubic root of 226795008 is about 609.8333397610.

The spelling of 226795008 in words is "two hundred twenty-six million, seven hundred ninety-five thousand, eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 64 66 88 93 96 124 128 132 176 186 192 248 256 264 341 352 372 384 433 496 512 528 682 704 744 768 866 992 1023 1056 1299 1364 1408 1488 1536 1732 1984 2046 2112 2598 2728 2816 2976 3464 3968 4092 4224 4763 5196 5456 5632 5952 6928 7936 8184 8448 9526 10392 10912 11904 13423 13856 14289 15872 16368 16896 19052 20784 21824 23808 26846 27712 28578 32736 38104 40269 41568 43648 47616 53692 55424 57156 65472 76208 80538 83136 87296 107384 110848 114312 130944 147653 152416 161076 166272 174592 214768 221696 228624 261888 295306 304832 322152 332544 429536 442959 457248 523776 590612 609664 644304 665088 859072 885918 914496 1181224 1219328 1288608 1718144 1771836 1828992 2362448 2438656 2577216 3436288 3543672 3657984 4724896 5154432 6872576 7087344 7315968 9449792 10308864 14174688 18899584 20617728 28349376 37799168 56698752 75598336 113397504 226795008