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225494010 = 23357229521
BaseRepresentation
bin11010111000011…
…00001111111010
3120201022021122000
431130030033322
5430211302020
634213041430
75405444640
oct1534141772
9521267560
10225494010
11106315a95
1263626276
1337942311
1421d3b190
1514be3090
hexd70c3fa

225494010 has 128 divisors (see below), whose sum is σ = 691545600. Its totient is φ = 51217920.

The previous prime is 225493993. The next prime is 225494023. The reversal of 225494010 is 10494522.

225494010 is a `hidden beast` number, since 2 + 254 + 9 + 401 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 432550 + ... + 433070.

It is an arithmetic number, because the mean of its divisors is an integer number (5402700).

Almost surely, 2225494010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225494010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345772800).

225494010 is an abundant number, since it is smaller than the sum of its proper divisors (466051590).

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

225494010 is a wasteful number, since it uses less digits than its factorization.

225494010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 225494010 is about 15016.4579711728. The cubic root of 225494010 is about 608.6650102639.

The spelling of 225494010 in words is "two hundred twenty-five million, four hundred ninety-four thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 229 270 315 378 458 521 630 687 945 1042 1145 1374 1563 1603 1890 2061 2290 2605 3126 3206 3435 3647 4122 4689 4809 5210 6183 6870 7294 7815 8015 9378 9618 10305 10941 12366 14067 14427 15630 16030 18235 20610 21882 23445 24045 28134 28854 30915 32823 36470 43281 46890 48090 54705 61830 65646 70335 72135 86562 98469 109410 119309 140670 144270 164115 196938 216405 238618 328230 357927 432810 492345 596545 715854 835163 984690 1073781 1193090 1670326 1789635 2147562 2505489 3221343 3579270 4175815 5010978 5368905 6442686 7516467 8351630 10737810 12527445 15032934 16106715 22549401 25054890 32213430 37582335 45098802 75164670 112747005 225494010