Search a number
-
+
6223464 = 23321361109
BaseRepresentation
bin10111101111011001101000
3102201011222200
4113233121220
53043122324
6341220200
7103620132
oct27573150
912634880
106223464
113570865
122101660
13139b930
14b80052
1582dec9
hex5ef668

6223464 has 96 divisors (see below), whose sum is σ = 18618600. Its totient is φ = 1866240.

The previous prime is 6223463. The next prime is 6223471. The reversal of 6223464 is 4643226.

6223464 is a `hidden beast` number, since 622 + 34 + 6 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3090564 + 3132900 = 1758^2 + 1770^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (6223463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57042 + ... + 57150.

Almost surely, 26223464 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 6223464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9309300).

6223464 is an abundant number, since it is smaller than the sum of its proper divisors (12395136).

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

6223464 is a wasteful number, since it uses less digits than its factorization.

6223464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 188 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 6223464 is about 2494.6871547350. The cubic root of 6223464 is about 183.9405132213.

The spelling of 6223464 in words is "six million, two hundred twenty-three thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 61 72 78 104 109 117 122 156 183 218 234 244 312 327 366 436 468 488 549 654 732 793 872 936 981 1098 1308 1417 1464 1586 1962 2196 2379 2616 2834 3172 3924 4251 4392 4758 5668 6344 6649 7137 7848 8502 9516 11336 12753 13298 14274 17004 19032 19947 25506 26596 28548 34008 39894 51012 53192 57096 59841 79788 86437 102024 119682 159576 172874 239364 259311 345748 478728 518622 691496 777933 1037244 1555866 2074488 3111732 6223464