Search a number
-
+
2328552288 = 2532171792657
BaseRepresentation
bin1000101011001010…
…1110001101100000
320000021120201020100
42022302232031200
514232102133123
61023020542400
7111463240116
oct21262561540
96007521210
102328552288
11a95452887
1254b9b1a00
132b15611ba
14181381ab6
15d9661643
hex8acae360

2328552288 has 144 divisors (see below), whose sum is σ = 7053162480. Its totient is φ = 726171648.

The previous prime is 2328552283. The next prime is 2328552307. The reversal of 2328552288 is 8822558232.

2328552288 is a `hidden beast` number, since 23 + 28 + 5 + 522 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2328552283) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 875056 + ... + 877712.

It is an arithmetic number, because the mean of its divisors is an integer number (48980295).

Almost surely, 22328552288 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 2328552288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3526581240).

2328552288 is an abundant number, since it is smaller than the sum of its proper divisors (4724610192).

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

2328552288 is a wasteful number, since it uses less digits than its factorization.

2328552288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2869 (or 2858 counting only the distinct ones).

The product of its digits is 614400, while the sum is 45.

The square root of 2328552288 is about 48255.0752563914. The cubic root of 2328552288 is about 1325.4458759056.

The spelling of 2328552288 in words is "two billion, three hundred twenty-eight million, five hundred fifty-two thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 179 204 272 288 306 358 408 537 544 612 716 816 1074 1224 1432 1611 1632 2148 2448 2657 2864 3043 3222 4296 4896 5314 5728 6086 6444 7971 8592 9129 10628 12172 12888 15942 17184 18258 21256 23913 24344 25776 27387 31884 36516 42512 45169 47826 48688 51552 54774 63768 73032 85024 90338 95652 97376 109548 127536 135507 146064 180676 191304 219096 255072 271014 292128 361352 382608 406521 438192 475603 542028 722704 765216 813042 876384 951206 1084056 1426809 1445408 1626084 1902412 2168112 2853618 3252168 3804824 4280427 4336224 5707236 6504336 7609648 8085251 8560854 11414472 13008672 15219296 16170502 17121708 22828944 24255753 32341004 34243416 45657888 48511506 64682008 68486832 72767259 97023012 129364016 136973664 145534518 194046024 258728032 291069036 388092048 582138072 776184096 1164276144 2328552288