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230053341400 = 23521965991867
BaseRepresentation
bin1101011001000000111…
…1110110100011011000
3210222210210221121111221
43112100033312203120
512232122123411100
6253403545301424
722422636065101
oct3262017664330
9728723847457
10230053341400
1189624128433
1238704494874
131890376c51c
14b1c56533a8
155eb6ad801a
hex35903f68d8

230053341400 has 96 divisors (see below), whose sum is σ = 563885784000. Its totient is φ = 87044872320.

The previous prime is 230053341379. The next prime is 230053341409. The reversal of 230053341400 is 4143350032.

230053341400 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 (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230053341409) 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 23 ways as a sum of consecutive naturals, for example, 2458267 + ... + 2550133.

It is an arithmetic number, because the mean of its divisors is an integer number (5873810250).

Almost surely, 2230053341400 is an apocalyptic number.

230053341400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230053341400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281942892000).

230053341400 is an abundant number, since it is smaller than the sum of its proper divisors (333832442600).

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

230053341400 is a wasteful number, since it uses less digits than its factorization.

230053341400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92561 (or 92552 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 230053341400 its reverse (4143350032), we get a palindrome (234196691432).

The spelling of 230053341400 in words is "two hundred thirty billion, fifty-three million, three hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 659 760 950 1318 1900 2636 3295 3800 5272 6590 12521 13180 16475 25042 26360 32950 50084 62605 65900 91867 100168 125210 131800 183734 250420 313025 367468 459335 500840 626050 734936 918670 1252100 1745473 1837340 2296675 2504200 3490946 3674680 4593350 6981892 8727365 9186700 13963784 17454730 18373400 34909460 43636825 60540353 69818920 87273650 121080706 174547300 242161412 302701765 349094600 484322824 605403530 1150266707 1210807060 1513508825 2300533414 2421614120 3027017650 4601066828 5751333535 6054035300 9202133656 11502667070 12108070600 23005334140 28756667675 46010668280 57513335350 115026670700 230053341400