Search a number
-
+
2264052492 = 2233136592447
BaseRepresentation
bin1000011011110010…
…1011001100001100
312211210012210011000
42012330223030030
514114044134432
61012354300300
7110051062062
oct20674531414
95753183130
102264052492
11a61aa9169
12532287690
132a109a040
14176992032
15d3b7057c
hex86f2b30c

2264052492 has 96 divisors (see below), whose sum is σ = 6333465600. Its totient is φ = 695290176.

The previous prime is 2264052397. The next prime is 2264052499. The reversal of 2264052492 is 2942504622.

It is a happy number.

2264052492 is a `hidden beast` number, since 2 + 2 + 6 + 40 + 524 + 92 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2264052499) 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, 924013 + ... + 926459.

It is an arithmetic number, because the mean of its divisors is an integer number (65973600).

Almost surely, 22264052492 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 2264052492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3166732800).

2264052492 is an abundant number, since it is smaller than the sum of its proper divisors (4069413108).

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

2264052492 is a wasteful number, since it uses less digits than its factorization.

2264052492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3132 (or 3124 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2264052492 is about 47582.0606111169. The cubic root of 2264052492 is about 1313.0930335573.

The spelling of 2264052492 in words is "two billion, two hundred sixty-four million, fifty-two thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 659 702 1318 1404 1977 2447 2636 3954 4894 5931 7341 7908 8567 9788 11862 14682 17134 17793 22023 23724 25701 29364 31811 34268 35586 44046 51402 63622 66069 71172 77103 88092 95433 102804 127244 132138 154206 190866 231309 264276 286299 308412 381732 462618 572598 858897 925236 1145196 1612573 1717794 3225146 3435588 4837719 6450292 9675438 14513157 19350876 20963449 29026314 41926898 43539471 58052628 62890347 83853796 87078942 125780694 174157884 188671041 251561388 377342082 566013123 754684164 1132026246 2264052492