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2430122430 = 2352232331559
BaseRepresentation
bin1001000011011000…
…1011100110111110
320021100201000021110
42100312023212332
514434102404210
61041045542450
7114135462021
oct22066134676
96240630243
102430122430
111037816a4a
12579a14a26
132c9604588
14190a611b8
15e3526420
hex90d8b9be

2430122430 has 64 divisors (see below), whose sum is σ = 5887365120. Its totient is φ = 641945856.

The previous prime is 2430122417. The next prime is 2430122441. The reversal of 2430122430 is 342210342.

It is a junction number, because it is equal to n+sod(n) for n = 2430122397 and 2430122406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1557991 + ... + 1559549.

It is an arithmetic number, because the mean of its divisors is an integer number (91990080).

Almost surely, 22430122430 is an apocalyptic number.

2430122430 is an abundant number, since it is smaller than the sum of its proper divisors (3457242690).

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

2430122430 is a wasteful number, since it uses less digits than its factorization.

2430122430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2025.

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2430122430 is about 49296.2719685779. The cubic root of 2430122430 is about 1344.4440021223. Note that the first 3 decimals are identical.

Adding to 2430122430 its reverse (342210342), we get a palindrome (2772332772).

The spelling of 2430122430 in words is "two billion, four hundred thirty million, one hundred twenty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 223 233 446 466 669 699 1115 1165 1338 1398 1559 2230 2330 3118 3345 3495 4677 6690 6990 7795 9354 15590 23385 46770 51959 103918 155877 259795 311754 347657 363247 519590 695314 726494 779385 1042971 1089741 1558770 1738285 1816235 2085942 2179482 3476570 3632470 5214855 5448705 10429710 10897410 81004081 162008162 243012243 405020405 486024486 810040810 1215061215 2430122430