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2424202104 = 233297347713
BaseRepresentation
bin1001000001111110…
…0110001101111000
320020221120020010010
42100133212031320
514431043431404
61040315021520
7114034243422
oct22037461570
96227506103
102424202104
111034442a15
12577a3a8a0
132c831091c
1418dd5d812
15e2c57189
hex907e6378

2424202104 has 64 divisors (see below), whose sum is σ = 6355504800. Its totient is φ = 769499136.

The previous prime is 2424202103. The next prime is 2424202111. The reversal of 2424202104 is 4012024242.

2424202104 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (2424202103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26952 + ... + 74664.

Almost surely, 22424202104 is an apocalyptic number.

2424202104 is a gapful number since it is divisible by the number (24) 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 2424202104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3177752400).

2424202104 is an abundant number, since it is smaller than the sum of its proper divisors (3931302696).

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

2424202104 is a wasteful number, since it uses less digits than its factorization.

2424202104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47824 (or 47820 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 2424202104 is about 49236.1869360331. The cubic root of 2424202104 is about 1343.3513247609.

Adding to 2424202104 its reverse (4012024242), we get a palindrome (6436226346).

The spelling of 2424202104 in words is "two billion, four hundred twenty-four million, two hundred two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 29 58 73 87 116 146 174 219 232 292 348 438 584 696 876 1752 2117 4234 6351 8468 12702 16936 25404 47713 50808 95426 143139 190852 286278 381704 572556 1145112 1383677 2767354 3483049 4151031 5534708 6966098 8302062 10449147 11069416 13932196 16604124 20898294 27864392 33208248 41796588 83593176 101008421 202016842 303025263 404033684 606050526 808067368 1212101052 2424202104