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230015013400 = 23522634372909
BaseRepresentation
bin1101011000110111110…
…1101001001000011000
3210222201010211100101101
43112031331221020120
512232032320412100
6253400100001144
722421662232464
oct3261575511030
9728633740341
10230015013400
1189604529aa7
12386b36901b4
13188c883ca33
14b1c05174a4
155eb356686a
hex358df69218

230015013400 has 48 divisors (see below), whose sum is σ = 536818431600. Its totient is φ = 91656151680.

The previous prime is 230015013383. The next prime is 230015013401. The reversal of 230015013400 is 4310510032.

230015013400 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 not an unprimeable number, because it can be changed into a prime (230015013401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2133855 + ... + 2239054.

It is an arithmetic number, because the mean of its divisors is an integer number (11183717325).

Almost surely, 2230015013400 is an apocalyptic number.

230015013400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230015013400 is an abundant number, since it is smaller than the sum of its proper divisors (306803418200).

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

230015013400 is a wasteful number, since it uses less digits than its factorization.

230015013400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4373188 (or 4373179 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

Adding to 230015013400 its reverse (4310510032), we get a palindrome (234325523432).

The spelling of 230015013400 in words is "two hundred thirty billion, fifteen million, thirteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 263 526 1052 1315 2104 2630 5260 6575 10520 13150 26300 52600 4372909 8745818 17491636 21864545 34983272 43729090 87458180 109322725 174916360 218645450 437290900 874581800 1150075067 2300150134 4600300268 5750375335 9200600536 11500750670 23001501340 28751876675 46003002680 57503753350 115007506700 230015013400