Search a number
-
+
245160192 = 2831953317
BaseRepresentation
bin11101001110011…
…01100100000000
3122002022102120010
432213031210000
51000230111232
640154344520
76034553514
oct1647154400
9562272503
10245160192
11116428532
126a12b140
133ba39804
14247ba144
15167ca0cc
hexe9cd900

245160192 has 144 divisors (see below), whose sum is σ = 701991360. Its totient is φ = 75718656.

The previous prime is 245160143. The next prime is 245160193. The reversal of 245160192 is 291061542.

It is not an unprimeable number, because it can be changed into a prime (245160193) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 773218 + ... + 773534.

It is an arithmetic number, because the mean of its divisors is an integer number (4874940).

Almost surely, 2245160192 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 245160192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350995680).

245160192 is an abundant number, since it is smaller than the sum of its proper divisors (456831168).

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

245160192 is a wasteful number, since it uses less digits than its factorization.

245160192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 245160192 is about 15657.5921520520. The cubic root of 245160192 is about 625.8688221838.

The spelling of 245160192 in words is "two hundred forty-five million, one hundred sixty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 53 57 64 76 96 106 114 128 152 159 192 212 228 256 304 317 318 384 424 456 608 634 636 768 848 912 951 1007 1216 1268 1272 1696 1824 1902 2014 2432 2536 2544 3021 3392 3648 3804 4028 4864 5072 5088 6023 6042 6784 7296 7608 8056 10144 10176 12046 12084 13568 14592 15216 16112 16801 18069 20288 20352 24092 24168 30432 32224 33602 36138 40576 40704 48184 48336 50403 60864 64448 67204 72276 81152 96368 96672 100806 121728 128896 134408 144552 192736 193344 201612 243456 257792 268816 289104 319219 385472 386688 403224 537632 578208 638438 770944 773376 806448 957657 1075264 1156416 1276876 1541888 1612896 1915314 2150528 2312832 2553752 3225792 3830628 4301056 4625664 5107504 6451584 7661256 10215008 12903168 15322512 20430016 30645024 40860032 61290048 81720064 122580096 245160192