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245109564 = 22347215439
BaseRepresentation
bin11101001110000…
…01001100111100
3122002012212010000
432213001030330
51000222001224
640153314300
76034253100
oct1647011474
9562185100
10245109564
111163a3497
126a105990
133ba1c75b
14247a5900
15167ba0c9
hexe9c133c

245109564 has 90 divisors (see below), whose sum is σ = 745427760. Its totient is φ = 70026768.

The previous prime is 245109563. The next prime is 245109581. The reversal of 245109564 is 465901542.

245109564 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245109563) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 8157 + ... + 23595.

Almost surely, 2245109564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245109564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372713880).

245109564 is an abundant number, since it is smaller than the sum of its proper divisors (500318196).

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

245109564 is a wasteful number, since it uses less digits than its factorization.

245109564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15469 (or 15451 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 245109564 is about 15655.9753448963. The cubic root of 245109564 is about 625.8257365209.

The spelling of 245109564 in words is "two hundred forty-five million, one hundred nine thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 567 588 756 882 1134 1323 1764 2268 2646 3969 5292 7938 15439 15876 30878 46317 61756 92634 108073 138951 185268 216146 277902 324219 416853 432292 555804 648438 756511 833706 972657 1250559 1296876 1513022 1667412 1945314 2269533 2501118 2917971 3026044 3890628 4539066 5002236 5835942 6808599 8753913 9078132 11671884 13617198 17507826 20425797 27234396 35015652 40851594 61277391 81703188 122554782 245109564