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230525220601040 = 2457949362506637
BaseRepresentation
bin110100011010100101010101…
…111000101011110011010000
31010020012222212222112210211212
4310122211111320223303100
5220203411122433213130
62134141454020555252
766361616603323451
oct6432452570536320
91106188788483755
10230525220601040
11674a8219281732
1221a313b9b52b28
139b825869a0561
1440cd6a19a3128
151b9b753be6e95
hexd1a955e2bcd0

230525220601040 has 40 divisors (see below), whose sum is σ = 536038565610600. Its totient is φ = 92198487773696.

The previous prime is 230525220601031. The next prime is 230525220601051. The reversal of 230525220601040 is 40106022525032.

230525220601040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 11189239081024 + 219335981520016 = 3345032^2 + 14809996^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 230525220600988 and 230525220601006.

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, 180617399 + ... + 181889238.

It is an arithmetic number, because the mean of its divisors is an integer number (13400964140265).

Almost surely, 2230525220601040 is an apocalyptic number.

230525220601040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230525220601040 is an abundant number, since it is smaller than the sum of its proper divisors (305513345009560).

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

230525220601040 is a wasteful number, since it uses less digits than its factorization.

230525220601040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362514599 (or 362514593 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The spelling of 230525220601040 in words is "two hundred thirty trillion, five hundred twenty-five billion, two hundred twenty million, six hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 7949 15898 31796 39745 63592 79490 127184 158980 317960 635920 362506637 725013274 1450026548 1812533185 2900053096 3625066370 5800106192 7250132740 14500265480 29000530960 2881565257513 5763130515026 11526261030052 14407826287565 23052522060104 28815652575130 46105044120208 57631305150260 115262610300520 230525220601040