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249520230 = 23353724977
BaseRepresentation
bin11101101111101…
…10000001100110
3122101111221102000
432313312001212
51002334121410
640432030130
76116613141
oct1667660146
9571457360
10249520230
11118936273
126b692346
133c90520b
14251d3058
1516d8bdc0
hexedf6066

249520230 has 64 divisors (see below), whose sum is σ = 683398080. Its totient is φ = 64737792.

The previous prime is 249520223. The next prime is 249520231. The reversal of 249520230 is 32025942.

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

It is a junction number, because it is equal to n+sod(n) for n = 249520194 and 249520203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249520231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2499 + ... + 22478.

It is an arithmetic number, because the mean of its divisors is an integer number (10678095).

Almost surely, 2249520230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249520230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341699040).

249520230 is an abundant number, since it is smaller than the sum of its proper divisors (433877850).

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

249520230 is a wasteful number, since it uses less digits than its factorization.

249520230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25030 (or 25024 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 249520230 is about 15796.2093554118. The cubic root of 249520230 is about 629.5572853396.

The spelling of 249520230 in words is "two hundred forty-nine million, five hundred twenty thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 90 111 135 185 222 270 333 370 555 666 999 1110 1665 1998 3330 4995 9990 24977 49954 74931 124885 149862 224793 249770 374655 449586 674379 749310 924149 1123965 1348758 1848298 2247930 2772447 3371895 4620745 5544894 6743790 8317341 9241490 13862235 16634682 24952023 27724470 41586705 49904046 83173410 124760115 249520230