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2400421230 = 23459113253
BaseRepresentation
bin1000111100010011…
…1000010101101110
320012021211000220000
42033010320111232
514404001434410
61034105205130
7113325146424
oct21704702556
96167730800
102400421230
111021a7aaa9
1256ba907a6
132c34055bc
1418ab2d114
15e0b0adc0
hex8f13856e

2400421230 has 80 divisors (see below), whose sum is σ = 6463537344. Its totient is φ = 639213120.

The previous prime is 2400421223. The next prime is 2400421273. The reversal of 2400421230 is 321240042.

2400421230 is a `hidden beast` number, since 240 + 0 + 421 + 2 + 3 + 0 = 666.

2400421230 is digitally balanced in base 2 and base 4, because in such bases 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 (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 736284 + ... + 739536.

Almost surely, 22400421230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2400421230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3231768672).

2400421230 is an abundant number, since it is smaller than the sum of its proper divisors (4063116114).

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

2400421230 is a wasteful number, since it uses less digits than its factorization.

2400421230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4183 (or 4174 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2400421230 is about 48994.0938277258. The cubic root of 2400421230 is about 1338.9442248160.

Adding to 2400421230 its reverse (321240042), we get a palindrome (2721661272).

The spelling of 2400421230 in words is "two billion, four hundred million, four hundred twenty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 911 1822 2733 3253 4555 5466 6506 8199 9110 9759 13665 16265 16398 19518 24597 27330 29277 32530 40995 48795 49194 58554 73791 81990 87831 97590 122985 146385 147582 175662 245970 263493 292770 368955 439155 526986 737910 878310 1317465 2634930 2963483 5926966 8890449 14817415 17780898 26671347 29634830 44452245 53342694 80014041 88904490 133356735 160028082 240042123 266713470 400070205 480084246 800140410 1200210615 2400421230