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2423433220 = 2251337324989
BaseRepresentation
bin1001000001110010…
…1010100000000100
320020220010011101221
42100130222200010
514430344330340
61040250330124
7114024561655
oct22034524004
96226104357
102423433220
111033a6827a
12577729944
132c8101970
1418dbdd52c
15e2b5444a
hex9072a804

2423433220 has 48 divisors (see below), whose sum is σ = 5495600880. Its totient is φ = 892371456.

The previous prime is 2423433217. The next prime is 2423433269. The reversal of 2423433220 is 223343242.

2423433220 = 60742 + 60752 + ... + 61382.

It can be written as a sum of positive squares in 8 ways, for example, as 32809984 + 2390623236 = 5728^2 + 48894^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84486 + ... + 109474.

It is an arithmetic number, because the mean of its divisors is an integer number (114491685).

Almost surely, 22423433220 is an apocalyptic number.

2423433220 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 2423433220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2747800440).

2423433220 is an abundant number, since it is smaller than the sum of its proper divisors (3072167660).

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

2423433220 is a wasteful number, since it uses less digits than its factorization.

2423433220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25384 (or 25382 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

The square root of 2423433220 is about 49228.3781979459. The cubic root of 2423433220 is about 1343.2092861966.

Adding to 2423433220 its reverse (223343242), we get a palindrome (2646776462).

The spelling of 2423433220 in words is "two billion, four hundred twenty-three million, four hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 373 746 1492 1865 3730 4849 7460 9698 19396 24245 24989 48490 49978 96980 99956 124945 249890 324857 499780 649714 1299428 1624285 3248570 6497140 9320897 18641794 37283588 46604485 93208970 121171661 186417940 242343322 484686644 605858305 1211716610 2423433220