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4013312224 = 25413058927
BaseRepresentation
bin1110111100110110…
…0100100011100000
3101100200202101101111
43233031210203200
531204401442344
61502123113104
7201311406505
oct35715444340
911320671344
104013312224
11177a456969
12940072794
134bc602a7c
142a101b4ac
15187504834
hexef3648e0

4013312224 has 24 divisors (see below), whose sum is σ = 8093923488. Its totient is φ = 1957712640.

The previous prime is 4013312209. The next prime is 4013312267. The reversal of 4013312224 is 4222133104.

4013312224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40133122242 = 32213350014615652352, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4013312195 and 4013312204.

It is a congruent number.

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, 1528152 + ... + 1530775.

It is an arithmetic number, because the mean of its divisors is an integer number (337246812).

Almost surely, 24013312224 is an apocalyptic number.

It is an amenable number.

4013312224 is an abundant number, since it is smaller than the sum of its proper divisors (4080611264).

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

4013312224 is a wasteful number, since it uses less digits than its factorization.

4013312224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3058978 (or 3058970 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 4013312224 is about 63350.7081570522. The cubic root of 4013312224 is about 1589.1600885500.

Adding to 4013312224 its reverse (4222133104), we get a palindrome (8235445328).

The spelling of 4013312224 in words is "four billion, thirteen million, three hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 1312 3058927 6117854 12235708 24471416 48942832 97885664 125416007 250832014 501664028 1003328056 2006656112 4013312224