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2223001424 = 247213920399
BaseRepresentation
bin1000010010000000…
…0100111101010000
312201220222011200002
42010200010331100
514023042021144
61004330345132
7106042125500
oct20440047520
95656864602
102223001424
11a4090a966
1252058b1a8
13295725c77
14171347a00
15d026214e
hex84804f50

2223001424 has 60 divisors (see below), whose sum is σ = 5046552000. Its totient is φ = 945814464.

The previous prime is 2223001423. The next prime is 2223001439. The reversal of 2223001424 is 4241003222.

It is a super-2 number, since 2×22230014242 = 9883470662212055552, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2223001396 and 2223001405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2223001423) 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, 98777 + ... + 119175.

It is an arithmetic number, because the mean of its divisors is an integer number (84109200).

Almost surely, 22223001424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2223001424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2523276000).

2223001424 is an abundant number, since it is smaller than the sum of its proper divisors (2823550576).

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

2223001424 is a wasteful number, since it uses less digits than its factorization.

2223001424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20560 (or 20547 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2223001424 is about 47148.7160376611. The cubic root of 2223001424 is about 1305.1083861574.

Adding to 2223001424 its reverse (4241003222), we get a palindrome (6464004646).

The spelling of 2223001424 in words is "two billion, two hundred twenty-three million, one thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 139 196 278 392 556 784 973 1112 1946 2224 3892 6811 7784 13622 15568 20399 27244 40798 54488 81596 108976 142793 163192 285586 326384 571172 999551 1142344 1999102 2284688 2835461 3998204 5670922 7996408 11341844 15992816 19848227 22683688 39696454 45367376 79392908 138937589 158785816 277875178 317571632 555750356 1111500712 2223001424