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2221240224 = 25373305417
BaseRepresentation
bin1000010001100101…
…0110111110100000
312201210122200202110
42010121112332200
514022114141344
61004224515320
7106021142010
oct20431267640
95653580673
102221240224
11a3a917725
1251ba7bb40
1329525a438
14171009c40
15d00153b9
hex84656fa0

2221240224 has 48 divisors (see below), whose sum is σ = 6663722688. Its totient is φ = 634639872.

The previous prime is 2221240223. The next prime is 2221240237. The reversal of 2221240224 is 4220421222.

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 (21).

It is a self number, because there is not a number n which added to its sum of digits gives 2221240224.

It is not an unprimeable number, because it can be changed into a prime (2221240223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1652037 + ... + 1653380.

It is an arithmetic number, because the mean of its divisors is an integer number (138827556).

Almost surely, 22221240224 is an apocalyptic number.

2221240224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2221240224 is an abundant number, since it is smaller than the sum of its proper divisors (4442482464).

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

2221240224 is a wasteful number, since it uses less digits than its factorization.

2221240224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3305437 (or 3305429 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 2221240224 is about 47130.0352641498. The cubic root of 2221240224 is about 1304.7636324156.

Adding to 2221240224 its reverse (4220421222), we get a palindrome (6441661446).

The spelling of 2221240224 in words is "two billion, two hundred twenty-one million, two hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 3305417 6610834 9916251 13221668 19832502 23137919 26443336 39665004 46275838 52886672 69413757 79330008 92551676 105773344 138827514 158660016 185103352 277655028 317320032 370206704 555310056 740413408 1110620112 2221240224