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225253350 = 232527431663
BaseRepresentation
bin11010110110100…
…01011111100110
3120200212001111200
431123101133212
5430131101400
634203543330
75403423210
oct1533213746
9520761450
10225253350
111061711a3
126352ab46
133788990a
1421cb75b0
1514b96b00
hexd6d17e6

225253350 has 144 divisors (see below), whose sum is σ = 708145152. Its totient is φ = 50258880.

The previous prime is 225253291. The next prime is 225253381. The reversal of 225253350 is 53352522.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 134619 + ... + 136281.

Almost surely, 2225253350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225253350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354072576).

225253350 is an abundant number, since it is smaller than the sum of its proper divisors (482891802).

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

225253350 is a wasteful number, since it uses less digits than its factorization.

225253350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1731 (or 1723 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The square root of 225253350 is about 15008.4426240700. The cubic root of 225253350 is about 608.4483992427.

The spelling of 225253350 in words is "two hundred twenty-five million, two hundred fifty-three thousand, three hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 43 45 50 63 70 75 86 90 105 126 129 150 175 210 215 225 258 301 315 350 387 430 450 525 602 630 645 774 903 1050 1075 1290 1505 1575 1663 1806 1935 2150 2709 3010 3150 3225 3326 3870 4515 4989 5418 6450 7525 8315 9030 9675 9978 11641 13545 14967 15050 16630 19350 22575 23282 24945 27090 29934 34923 41575 45150 49890 58205 67725 69846 71509 74835 83150 104769 116410 124725 135450 143018 149670 174615 209538 214527 249450 291025 349230 357545 374175 429054 500563 523845 582050 643581 715090 748350 873075 1001126 1047690 1072635 1287162 1501689 1746150 1787725 2145270 2502815 2619225 3003378 3217905 3575450 4505067 5005630 5238450 5363175 6435810 7508445 9010134 10726350 12514075 15016890 16089525 22525335 25028150 32179050 37542225 45050670 75084450 112626675 225253350