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245713230 = 23357294483
BaseRepresentation
bin11101010010101…
…00100101001110
3122010100112012000
432221110211032
51000400310410
640214253130
76042346050
oct1651244516
9563315160
10245713230
11116775a94
126a3571a6
133bba1459
14248c18d0
1516888dc0
hexea5494e

245713230 has 128 divisors (see below), whose sum is σ = 774835200. Its totient is φ = 54214272.

The previous prime is 245713207. The next prime is 245713241. The reversal of 245713230 is 32317542.

245713230 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 245713194 and 245713203.

It is a congruent number.

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, 52569 + ... + 57051.

It is an arithmetic number, because the mean of its divisors is an integer number (6053400).

Almost surely, 2245713230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245713230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387417600).

245713230 is an abundant number, since it is smaller than the sum of its proper divisors (529121970).

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

245713230 is a wasteful number, since it uses less digits than its factorization.

245713230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4535 (or 4529 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 245713230 is about 15675.2425818550. The cubic root of 245713230 is about 626.3390851791.

The spelling of 245713230 in words is "two hundred forty-five million, seven hundred thirteen thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 29 30 35 42 45 54 58 63 70 87 90 105 126 135 145 174 189 203 210 261 270 290 315 378 406 435 522 609 630 783 870 945 1015 1218 1305 1566 1827 1890 2030 2610 3045 3654 3915 4483 5481 6090 7830 8966 9135 10962 13449 18270 22415 26898 27405 31381 40347 44830 54810 62762 67245 80694 94143 121041 130007 134490 156905 188286 201735 242082 260014 282429 313810 390021 403470 470715 564858 605205 650035 780042 847287 910049 941430 1170063 1210410 1300070 1412145 1694574 1820098 1950105 2340126 2730147 2824290 3510189 3900210 4236435 4550245 5460294 5850315 7020378 8190441 8472870 9100490 11700630 13650735 16380882 17550945 24571323 27301470 35101890 40952205 49142646 81904410 122856615 245713230