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2221412112 = 243261252893
BaseRepresentation
bin1000010001101000…
…0000111100010000
312201210222102112200
42010122000330100
514022140141422
61004232323200
7106022456103
oct20432007420
95653872480
102221412112
11a3aa24887
1251bb43500
132952ba74a
1417105273a
15d004b2ac
hex84680f10

2221412112 has 60 divisors (see below), whose sum is σ = 6318809484. Its totient is φ = 728328960.

The previous prime is 2221412111. The next prime is 2221412159. The reversal of 2221412112 is 2112141222.

It can be written as a sum of positive squares in 2 ways, for example, as 310323456 + 1911088656 = 17616^2 + 43716^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 (2221412111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 117663 + ... + 135230.

Almost surely, 22221412112 is an apocalyptic number.

It is an amenable number.

2221412112 is an abundant number, since it is smaller than the sum of its proper divisors (4097397372).

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

2221412112 is a wasteful number, since it uses less digits than its factorization.

2221412112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252968 (or 252959 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 2221412112 is about 47131.8587793862. The cubic root of 2221412112 is about 1304.7972874017.

Adding to 2221412112 its reverse (2112141222), we get a palindrome (4333553334).

The spelling of 2221412112 in words is "two billion, two hundred twenty-one million, four hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 122 144 183 244 366 488 549 732 976 1098 1464 2196 2928 4392 8784 252893 505786 758679 1011572 1517358 2023144 2276037 3034716 4046288 4552074 6069432 9104148 12138864 15426473 18208296 30852946 36416592 46279419 61705892 92558838 123411784 138838257 185117676 246823568 277676514 370235352 555353028 740470704 1110706056 2221412112