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230553656160 = 2535480320117
BaseRepresentation
bin1101011010111000010…
…0011001101101100000
3211001002200101020100020
43112232010121231200
512234133213444120
6253525340553440
722441222512522
oct3265604315540
9731080336306
10230553656160
118986058a303
1238823b52880
1318983304969
14b231c8ba12
155ee59b4640
hex35ae119b60

230553656160 has 48 divisors (see below), whose sum is σ = 726244018416. Its totient is φ = 61480974848.

The previous prime is 230553656149. The next prime is 230553656257. The reversal of 230553656160 is 61656355032.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 240159579 + ... + 240160538.

It is an arithmetic number, because the mean of its divisors is an integer number (15130083717).

Almost surely, 2230553656160 is an apocalyptic number.

230553656160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230553656160 is an abundant number, since it is smaller than the sum of its proper divisors (495690362256).

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

230553656160 is a wasteful number, since it uses less digits than its factorization.

230553656160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480320135 (or 480320127 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 42.

The spelling of 230553656160 in words is "two hundred thirty billion, five hundred fifty-three million, six hundred fifty-six thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 480320117 960640234 1440960351 1921280468 2401600585 2881920702 3842560936 4803201170 5763841404 7204801755 7685121872 9606402340 11527682808 14409603510 15370243744 19212804680 23055365616 28819207020 38425609360 46110731232 57638414040 76851218720 115276828080 230553656160