Search a number
-
+
245815164 = 223272331421
BaseRepresentation
bin11101010011011…
…01011101111100
3122010112201000100
432221231131330
51000412041124
640220401100
76043252200
oct1651553574
9563481010
10245815164
11116835631
126a3a6190
133bc0897a
142490ab00
15168a91c9
hexea6d77c

245815164 has 108 divisors (see below), whose sum is σ = 726719448. Its totient is φ = 69854400.

The previous prime is 245815153. The next prime is 245815187. The reversal of 245815164 is 461518542.

It is a happy number.

245815164 is a `hidden beast` number, since 24 + 581 + 51 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 583674 + ... + 584094.

Almost surely, 2245815164 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 245815164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363359724).

245815164 is an abundant number, since it is smaller than the sum of its proper divisors (480904284).

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

245815164 is a wasteful number, since it uses less digits than its factorization.

245815164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 764 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 245815164 is about 15678.4936776465. The cubic root of 245815164 is about 626.4256853479.

It can be divided in two parts, 245 and 815164, that added together give a square (815409 = 9032).

The spelling of 245815164 in words is "two hundred forty-five million, eight hundred fifteen thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 331 421 441 588 662 842 882 993 1263 1324 1684 1764 1986 2317 2526 2947 2979 3789 3972 4634 5052 5894 5958 6951 7578 8841 9268 11788 11916 13902 15156 16219 17682 20629 20853 26523 27804 32438 35364 41258 41706 48657 53046 61887 64876 82516 83412 97314 106092 123774 139351 145971 185661 194628 247548 278702 291942 371322 418053 557404 583884 742644 836106 975457 1254159 1672212 1950914 2508318 2926371 3901828 5016636 5852742 6828199 8779113 11705484 13656398 17558226 20484597 27312796 35116452 40969194 61453791 81938388 122907582 245815164