Search a number
-
+
256663224 = 233229831481
BaseRepresentation
bin11110100110001…
…01111010111000
3122212221211202100
433103011322320
51011201210344
641245103400
76234413166
oct1723057270
9585854670
10256663224
11121974974
1271b57b60
134123653c
1426132236
15177ed569
hexf4c5eb8

256663224 has 96 divisors (see below), whose sum is σ = 728254800. Its totient is φ = 81553920.

The previous prime is 256663219. The next prime is 256663241. The reversal of 256663224 is 422366652.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172564 + ... + 174044.

Almost surely, 2256663224 is an apocalyptic number.

256663224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256663224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364127400).

256663224 is an abundant number, since it is smaller than the sum of its proper divisors (471591576).

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

256663224 is a wasteful number, since it uses less digits than its factorization.

256663224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1605 (or 1598 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 256663224 is about 16020.7123437131. The cubic root of 256663224 is about 635.5082825633.

The spelling of 256663224 in words is "two hundred fifty-six million, six hundred sixty-three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 83 87 116 166 174 232 249 261 332 348 498 522 664 696 747 996 1044 1481 1494 1992 2088 2407 2962 2988 4443 4814 5924 5976 7221 8886 9628 11848 13329 14442 17772 19256 21663 26658 28884 35544 42949 43326 53316 57768 85898 86652 106632 122923 128847 171796 173304 245846 257694 343592 368769 386541 491692 515388 737538 773082 983384 1030776 1106307 1475076 1546164 2212614 2950152 3092328 3564767 4425228 7129534 8850456 10694301 14259068 21388602 28518136 32082903 42777204 64165806 85554408 128331612 256663224