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2423131400 = 2352101139863
BaseRepresentation
bin1001000001101110…
…0000110100001000
320020212112211101102
42100123200310020
514430310201100
61040240040532
7114022164014
oct22033406410
96225484342
102423131400
111033881538
12577603148
132c8027481
1418db61544
15e2ae4cd5
hex906e0d08

2423131400 has 96 divisors (see below), whose sum is σ = 5737132800. Its totient is φ = 951648000.

The previous prime is 2423131387. The next prime is 2423131409. The reversal of 2423131400 is 41313242.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2423131409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2807369 + ... + 2808231.

It is an arithmetic number, because the mean of its divisors is an integer number (59761800).

Almost surely, 22423131400 is an apocalyptic number.

2423131400 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 2423131400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2868566400).

2423131400 is an abundant number, since it is smaller than the sum of its proper divisors (3314001400).

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

2423131400 is a wasteful number, since it uses less digits than its factorization.

2423131400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2423131400 is about 49225.3125942335. The cubic root of 2423131400 is about 1343.1535217471.

Adding to 2423131400 its reverse (41313242), we get a palindrome (2464444642).

The spelling of 2423131400 in words is "two billion, four hundred twenty-three million, one hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 139 200 202 278 404 505 556 695 808 863 1010 1112 1390 1726 2020 2525 2780 3452 3475 4040 4315 5050 5560 6904 6950 8630 10100 13900 14039 17260 20200 21575 27800 28078 34520 43150 56156 70195 86300 87163 112312 119957 140390 172600 174326 239914 280780 348652 350975 435815 479828 561560 599785 697304 701950 871630 959656 1199570 1403900 1743260 2179075 2399140 2807800 2998925 3486520 4358150 4798280 5997850 8716300 11995700 12115657 17432600 23991400 24231314 48462628 60578285 96925256 121156570 242313140 302891425 484626280 605782850 1211565700 2423131400