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11221223424 = 21131826371
BaseRepresentation
bin10100111001101011…
…00100100000000000
31001222000201012201120
422130311210200000
5140440113122144
65053245432240
7545033553045
oct123465444000
931860635646
1011221223424
1148390a7274
122211b6b680
13109aa02b98
147864191cc
1545a1dbe19
hex29cd64800

11221223424 has 48 divisors (see below), whose sum is σ = 29915973360. Its totient is φ = 3740405760.

The previous prime is 11221223407. The next prime is 11221223443. The reversal of 11221223424 is 42432212211.

It is a tau number, because it is divible by the number of its divisors (48).

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11221223394 and 11221223403.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 907042 + ... + 919329.

It is an arithmetic number, because the mean of its divisors is an integer number (623249445).

Almost surely, 211221223424 is an apocalyptic number.

It is an amenable number.

11221223424 is an abundant number, since it is smaller than the sum of its proper divisors (18694749936).

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

11221223424 is an equidigital number, since it uses as much as digits as its factorization.

11221223424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1826396 (or 1826376 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

Adding to 11221223424 its reverse (42432212211), we get a palindrome (53653435635).

The spelling of 11221223424 in words is "eleven billion, two hundred twenty-one million, two hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 6144 1826371 3652742 5479113 7305484 10958226 14610968 21916452 29221936 43832904 58443872 87665808 116887744 175331616 233775488 350663232 467550976 701326464 935101952 1402652928 1870203904 2805305856 3740407808 5610611712 11221223424