Search a number
-
+
2343223120 = 24572597761
BaseRepresentation
bin1000101110101010…
…1011111101010000
320001022012001211111
42023222223331100
514244331114440
61024303223104
7112032032200
oct21352537520
96038161744
102343223120
11aa2763237
125548a7a94
132b45c9a74
141832c0400
15daaad4ea
hex8baabf50

2343223120 has 60 divisors (see below), whose sum is σ = 6337472724. Its totient is φ = 803389440.

The previous prime is 2343223109. The next prime is 2343223199. The reversal of 2343223120 is 213223432.

It can be written as a sum of positive squares in 2 ways, for example, as 1666598976 + 676624144 = 40824^2 + 26012^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2343223091 and 2343223100.

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 11 ways as a sum of consecutive naturals, for example, 294961 + ... + 302800.

Almost surely, 22343223120 is an apocalyptic number.

2343223120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2343223120 is an abundant number, since it is smaller than the sum of its proper divisors (3994249604).

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

2343223120 is a wasteful number, since it uses less digits than its factorization.

2343223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597788 (or 597775 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 2343223120 is about 48406.8499284967. The cubic root of 2343223120 is about 1328.2236673881.

Adding to 2343223120 its reverse (213223432), we get a palindrome (2556446552).

The spelling of 2343223120 in words is "two billion, three hundred forty-three million, two hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 784 980 1960 3920 597761 1195522 2391044 2988805 4184327 4782088 5977610 8368654 9564176 11955220 16737308 20921635 23910440 29290289 33474616 41843270 47820880 58580578 66949232 83686540 117161156 146451445 167373080 234322312 292902890 334746160 468644624 585805780 1171611560 2343223120