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233420544253120 = 2657104205600113
BaseRepresentation
bin110101000100101101110100…
…100111111001110011000000
31010121110210020001210122200011
4311010231310213321303000
5221043330233312044440
62144235530115034304
7100111035454313620
oct6504556447716300
91117423201718604
10233420544253120
1168414107a73964
122221a56bb9b994
13a032602c21743
14418d886746880
151bebc0d8cb9ea
hexd44b749f9cc0

233420544253120 has 56 divisors (see below), whose sum is σ = 635237338294944. Its totient is φ = 80029900886016.

The previous prime is 233420544253103. The next prime is 233420544253129. The reversal of 233420544253120 is 21352445024332.

233420544253120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (233420544253129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52102797817 + ... + 52102802296.

It is an arithmetic number, because the mean of its divisors is an integer number (11343523898124).

Almost surely, 2233420544253120 is an apocalyptic number.

233420544253120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233420544253120 is an abundant number, since it is smaller than the sum of its proper divisors (401816794041824).

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

233420544253120 is a wasteful number, since it uses less digits than its factorization.

233420544253120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104205600137 (or 104205600127 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 40.

Adding to 233420544253120 its reverse (21352445024332), we get a palindrome (254772989277452).

The spelling of 233420544253120 in words is "two hundred thirty-three trillion, four hundred twenty billion, five hundred forty-four million, two hundred fifty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 104205600113 208411200226 416822400452 521028000565 729439200791 833644800904 1042056001130 1458878401582 1667289601808 2084112002260 2917756803164 3334579203616 3647196003955 4168224004520 5835513606328 6669158407232 7294392007910 8336448009040 11671027212656 14588784015820 16672896018080 23342054425312 29177568031640 33345792036160 46684108850624 58355136063280 116710272126560 233420544253120