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245222532 = 223337109563
BaseRepresentation
bin11101001110111…
…00110010000100
3122002102121002000
432213130302010
51000234110112
640155545300
76035233332
oct1647346204
9562377060
10245222532
11116470355
126a15b230
133ba5bcb9
14247d4b52
15167dd7dc
hexe9dcc84

245222532 has 96 divisors (see below), whose sum is σ = 660105600. Its totient is φ = 78662016.

The previous prime is 245222513. The next prime is 245222563. The reversal of 245222532 is 235222542.

245222532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 245222496 and 245222505.

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, 435283 + ... + 435845.

It is an arithmetic number, because the mean of its divisors is an integer number (6876100).

Almost surely, 2245222532 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 245222532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330052800).

245222532 is an abundant number, since it is smaller than the sum of its proper divisors (414883068).

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

245222532 is a wasteful number, since it uses less digits than its factorization.

245222532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 714 counting only the distinct ones).

The product of its digits is 9600, while the sum is 27.

The square root of 245222532 is about 15659.5827530621. The cubic root of 245222532 is about 625.9218668964.

The spelling of 245222532 in words is "two hundred forty-five million, two hundred twenty-two thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 109 111 148 218 222 327 333 436 444 563 654 666 981 999 1126 1308 1332 1689 1962 1998 2252 2943 3378 3924 3996 4033 5067 5886 6756 8066 10134 11772 12099 15201 16132 20268 20831 24198 30402 36297 41662 48396 60804 61367 62493 72594 83324 108891 122734 124986 145188 184101 187479 217782 245468 249972 368202 374958 435564 552303 562437 736404 749916 1104606 1124874 1656909 2209212 2249748 2270579 3313818 4541158 6627636 6811737 9082316 13623474 20435211 27246948 40870422 61305633 81740844 122611266 245222532