Search a number
-
+
245221464 = 233175961167
BaseRepresentation
bin11101001110111…
…00100001011000
3122002102112121110
432213130201120
51000234041324
640155540320
76035230245
oct1647344130
9562375543
10245221464
1111646a574
126a15a6a0
133ba5b677
14247d45cc
15167dd329
hexe9dc858

245221464 has 128 divisors (see below), whose sum is σ = 674956800. Its totient is φ = 73943040.

The previous prime is 245221453. The next prime is 245221489. The reversal of 245221464 is 464122542.

245221464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1468309 + ... + 1468475.

It is an arithmetic number, because the mean of its divisors is an integer number (5273100).

Almost surely, 2245221464 is an apocalyptic number.

245221464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245221464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337478400).

245221464 is an abundant number, since it is smaller than the sum of its proper divisors (429735336).

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

245221464 is a wasteful number, since it uses less digits than its factorization.

245221464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 309 counting only the distinct ones).

The product of its digits is 15360, while the sum is 30.

The square root of 245221464 is about 15659.5486524995. The cubic root of 245221464 is about 625.9209582176.

The spelling of 245221464 in words is "two hundred forty-five million, two hundred twenty-one thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 59 61 68 102 118 122 136 167 177 183 204 236 244 334 354 366 408 472 488 501 668 708 732 1002 1003 1037 1336 1416 1464 2004 2006 2074 2839 3009 3111 3599 4008 4012 4148 5678 6018 6222 7198 8024 8296 8517 9853 10187 10797 11356 12036 12444 14396 17034 19706 20374 21594 22712 24072 24888 28792 29559 30561 34068 39412 40748 43188 59118 61122 61183 68136 78824 81496 86376 118236 122244 122366 167501 173179 183549 236472 244488 244732 335002 346358 367098 489464 502503 519537 601033 670004 692716 734196 1005006 1039074 1202066 1340008 1385432 1468392 1803099 2010012 2078148 2404132 3606198 4020024 4156296 4808264 7212396 10217561 14424792 20435122 30652683 40870244 61305366 81740488 122610732 245221464