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229916250 = 23254107191
BaseRepresentation
bin11011011010000…
…11111001011010
3121000121221210200
431231003321122
5432324310000
634451523030
75461153524
oct1555037132
9530557720
10229916250
11108866533
1264bb9476
1338830125
142276ca14
15152b8500
hexdb43e5a

229916250 has 120 divisors (see below), whose sum is σ = 631597824. Its totient is φ = 60420000.

The previous prime is 229916237. The next prime is 229916311. The reversal of 229916250 is 52619922.

It is a happy number.

229916250 is a `hidden beast` number, since 2 + 29 + 9 + 1 + 625 + 0 = 666.

229916250 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2299162502 = 105722964028125000, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1203655 + ... + 1203845.

Almost surely, 2229916250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229916250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315798912).

229916250 is an abundant number, since it is smaller than the sum of its proper divisors (401681574).

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

229916250 is a wasteful number, since it uses less digits than its factorization.

229916250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 229916250 is about 15162.9894809698. The cubic root of 229916250 is about 612.6181918243.

It can be divided in two parts, 22991 and 6250, that added together give a square (29241 = 1712).

The spelling of 229916250 in words is "two hundred twenty-nine million, nine hundred sixteen thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 107 125 150 191 214 225 250 321 375 382 450 535 573 625 642 750 955 963 1070 1125 1146 1250 1605 1719 1875 1910 1926 2250 2675 2865 3210 3438 3750 4775 4815 5350 5625 5730 8025 8595 9550 9630 11250 13375 14325 16050 17190 20437 23875 24075 26750 28650 40125 40874 42975 47750 48150 61311 66875 71625 80250 85950 102185 119375 120375 122622 133750 143250 183933 200625 204370 214875 238750 240750 306555 358125 367866 401250 429750 510925 601875 613110 716250 919665 1021850 1074375 1203750 1532775 1839330 2148750 2554625 3065550 4598325 5109250 7663875 9196650 12773125 15327750 22991625 25546250 38319375 45983250 76638750 114958125 229916250