Search a number
-
+
4402240224 = 253107428567
BaseRepresentation
bin1000001100110010…
…01101101011100000
3102100210120222022020
410012121031223200
533003433141344
62004455141440
7214043265414
oct40631155340
912323528266
104402240224
111959a4a268
12a2a374880
13552068895
142da93cd44
151ab72c719
hex10664dae0

4402240224 has 48 divisors (see below), whose sum is σ = 11663906688. Its totient is φ = 1453695872.

The previous prime is 4402240217. The next prime is 4402240229. The reversal of 4402240224 is 4220422044.

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 junction number, because it is equal to n+sod(n) for n = 4402240194 and 4402240203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4402240229) 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, 204012 + ... + 224555.

It is an arithmetic number, because the mean of its divisors is an integer number (242998056).

Almost surely, 24402240224 is an apocalyptic number.

It is an amenable number.

4402240224 is an abundant number, since it is smaller than the sum of its proper divisors (7261666464).

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

4402240224 is a wasteful number, since it uses less digits than its factorization.

4402240224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428687 (or 428679 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 4402240224 is about 66349.3799820315. The cubic root of 4402240224 is about 1638.9205944980.

Adding to 4402240224 its reverse (4220422044), we get a palindrome (8622662268).

The spelling of 4402240224 in words is "four billion, four hundred two million, two hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 107 214 321 428 642 856 1284 1712 2568 3424 5136 10272 428567 857134 1285701 1714268 2571402 3428536 5142804 6857072 10285608 13714144 20571216 41142432 45856669 91713338 137570007 183426676 275140014 366853352 550280028 733706704 1100560056 1467413408 2201120112 4402240224