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2320422144 = 2833722207
BaseRepresentation
bin1000101001001110…
…1101010100000000
312222201021122202220
42022103231110000
514223012002034
61022130411040
7111334156065
oct21223552400
95881248686
102320422144
11a908aa557
12549130a80
132ac975771
14180266c6c
15d8aa7749
hex8a4ed500

2320422144 has 108 divisors (see below), whose sum is σ = 6350004864. Its totient is φ = 752228352.

The previous prime is 2320422121. The next prime is 2320422173. The reversal of 2320422144 is 4412240232.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1050289 + ... + 1052495.

Almost surely, 22320422144 is an apocalyptic number.

2320422144 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 2320422144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3175002432).

2320422144 is an abundant number, since it is smaller than the sum of its proper divisors (4029582720).

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

2320422144 is an equidigital number, since it uses as much as digits as its factorization.

2320422144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2300 (or 2249 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2320422144 is about 48170.7602597260. The cubic root of 2320422144 is about 1323.9014782949.

Adding to 2320422144 its reverse (4412240232), we get a palindrome (6732662376).

The spelling of 2320422144 in words is "two billion, three hundred twenty million, four hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 296 384 444 592 768 888 1184 1369 1776 2207 2368 2738 3552 4107 4414 4736 5476 6621 7104 8214 8828 9472 10952 13242 14208 16428 17656 21904 26484 28416 32856 35312 43808 52968 65712 70624 81659 87616 105936 131424 141248 163318 175232 211872 244977 262848 282496 326636 350464 423744 489954 525696 564992 653272 847488 979908 1051392 1306544 1694976 1959816 2613088 3021383 3919632 5226176 6042766 7839264 9064149 10452352 12085532 15678528 18128298 20904704 24171064 31357056 36256596 48342128 62714112 72513192 96684256 145026384 193368512 290052768 386737024 580105536 773474048 1160211072 2320422144