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223850250 = 23353132551
BaseRepresentation
bin11010101011110…
…10111100001010
3120121012202211000
431111322330022
5424301202000
634113515430
75355460431
oct1525727412
9517182730
10223850250
111053a3008
1262b72b76
13374b8090
1421a30118
15149bb000
hexd57af0a

223850250 has 128 divisors (see below), whose sum is σ = 668828160. Its totient is φ = 55080000.

The previous prime is 223850177. The next prime is 223850251. The reversal of 223850250 is 52058322.

223850250 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (223850251) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86475 + ... + 89025.

It is an arithmetic number, because the mean of its divisors is an integer number (5225220).

Almost surely, 2223850250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223850250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334414080).

223850250 is an abundant number, since it is smaller than the sum of its proper divisors (444977910).

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

223850250 is a wasteful number, since it uses less digits than its factorization.

223850250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2590 (or 2574 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 223850250 is about 14961.6259143183. The cubic root of 223850250 is about 607.1824281343.

The spelling of 223850250 in words is "two hundred twenty-three million, eight hundred fifty thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 27 30 39 45 50 54 65 75 78 90 117 125 130 135 150 195 225 234 250 270 325 351 375 390 450 585 650 675 702 750 975 1125 1170 1350 1625 1755 1950 2250 2551 2925 3250 3375 3510 4875 5102 5850 6750 7653 8775 9750 12755 14625 15306 17550 22959 25510 29250 33163 38265 43875 45918 63775 66326 68877 76530 87750 99489 114795 127550 137754 165815 191325 198978 229590 298467 318875 331630 344385 382650 497445 573975 596934 637750 688770 829075 895401 956625 994890 1147950 1492335 1658150 1721925 1790802 1913250 2487225 2869875 2984670 3443850 4145375 4477005 4974450 5739750 7461675 8290750 8609625 8954010 12436125 14923350 17219250 22385025 24872250 37308375 44770050 74616750 111925125 223850250