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2122443312 = 2431123174773
BaseRepresentation
bin111111010000001…
…1110101000110000
312110220202021212120
41332200132220300
513321321141222
6550335154240
7103411320243
oct17640365060
95426667776
102122443312
1199a078090
124b2975980
1327a948422
14161c4d25a
15c64ec15c
hex7e81ea30

2122443312 has 80 divisors (see below), whose sum is σ = 6241529088. Its totient is φ = 615197440.

The previous prime is 2122443311. The next prime is 2122443331. The reversal of 2122443312 is 2133442212.

It is a happy number.

It is a super-2 number, since 2×21224433122 = 9009531225307058688, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2122443311) 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, 75243 + ... + 99530.

Almost surely, 22122443312 is an apocalyptic number.

2122443312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2122443312 is an abundant number, since it is smaller than the sum of its proper divisors (4119085776).

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

2122443312 is a wasteful number, since it uses less digits than its factorization.

2122443312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174818 (or 174812 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 2122443312 is about 46069.9827653538. The cubic root of 2122443312 is about 1285.1249833265.

Adding to 2122443312 its reverse (2133442212), we get a palindrome (4255885524).

The spelling of 2122443312 in words is "two billion, one hundred twenty-two million, four hundred forty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 44 46 48 66 69 88 92 132 138 176 184 253 264 276 368 506 528 552 759 1012 1104 1518 2024 3036 4048 6072 12144 174773 349546 524319 699092 1048638 1398184 1922503 2097276 2796368 3845006 4019779 4194552 5767509 7690012 8039558 8389104 11535018 12059337 15380024 16079116 23070036 24118674 30760048 32158232 44217569 46140072 48237348 64316464 88435138 92280144 96474696 132652707 176870276 192949392 265305414 353740552 530610828 707481104 1061221656 2122443312