Search a number
-
+
25232228352 = 2143419013
BaseRepresentation
bin10111011111111101…
…010100000000000000
32102010110220000020000
4113133331110000000
5403133422301402
615331434120000
71552164254652
oct273775240000
972113800200
1025232228352
11a778a31691
124a82280000
1324c1695b46
1413151586d2
159ca295c1c
hex5dff54000

25232228352 has 150 divisors (see below), whose sum is σ = 75386840298. Its totient is φ = 8410300416.

The previous prime is 25232228339. The next prime is 25232228369. The reversal of 25232228352 is 25382223252.

25232228352 is a `hidden beast` number, since 2 + 5 + 2 + 322 + 283 + 52 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12745506816 + 12486721536 = 112896^2 + 111744^2 .

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 9 ways as a sum of consecutive naturals, for example, 1317598 + ... + 1336610.

Almost surely, 225232228352 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 25232228352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37693420149).

25232228352 is an abundant number, since it is smaller than the sum of its proper divisors (50154611946).

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

25232228352 is an frugal number, since it uses more digits than its factorization.

25232228352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19053 (or 19018 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The spelling of 25232228352 in words is "twenty-five billion, two hundred thirty-two million, two hundred twenty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2048 2304 2592 3072 3456 4096 4608 5184 6144 6912 8192 9216 10368 12288 13824 16384 18432 19013 20736 24576 27648 36864 38026 41472 49152 55296 57039 73728 76052 82944 110592 114078 147456 152104 165888 171117 221184 228156 304208 331776 342234 442368 456312 513351 608416 663552 684468 912624 1026702 1216832 1327104 1368936 1540053 1825248 2053404 2433664 2737872 3080106 3650496 4106808 4867328 5475744 6160212 7300992 8213616 9734656 10951488 12320424 14601984 16427232 19469312 21902976 24640848 29203968 32854464 38938624 43805952 49281696 58407936 65708928 77877248 87611904 98563392 116815872 131417856 155754496 175223808 197126784 233631744 262835712 311508992 350447616 394253568 467263488 525671424 700895232 788507136 934526976 1051342848 1401790464 1577014272 2102685696 2803580928 3154028544 4205371392 6308057088 8410742784 12616114176 25232228352