Search a number
-
+
253315224 = 2332107131251
BaseRepresentation
bin11110001100101…
…00100010011000
3122122122202011100
433012110202120
51004322041344
641045231400
76164100231
oct1706244230
9578582140
10253315224
1111aa98528
1270a02560
1340633686
1425900088
151738b569
hexf194898

253315224 has 96 divisors (see below), whose sum is σ = 700539840. Its totient is φ = 82680000.

The previous prime is 253315211. The next prime is 253315241. The reversal of 253315224 is 422513352.

It is a happy number.

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, 1009099 + ... + 1009349.

It is an arithmetic number, because the mean of its divisors is an integer number (7297290).

Almost surely, 2253315224 is an apocalyptic number.

253315224 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 253315224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350269920).

253315224 is an abundant number, since it is smaller than the sum of its proper divisors (447224616).

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

253315224 is a wasteful number, since it uses less digits than its factorization.

253315224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 494 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 253315224 is about 15915.8796175392. The cubic root of 253315224 is about 632.7329196790.

Adding to 253315224 its reverse (422513352), we get a palindrome (675828576).

The spelling of 253315224 in words is "two hundred fifty-three million, three hundred fifteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 107 131 214 251 262 321 393 428 502 524 642 753 786 856 963 1004 1048 1179 1284 1506 1572 1926 2008 2259 2358 2568 3012 3144 3852 4518 4716 6024 7704 9036 9432 14017 18072 26857 28034 32881 42051 53714 56068 65762 80571 84102 98643 107428 112136 126153 131524 161142 168204 197286 214856 241713 252306 263048 295929 322284 336408 394572 483426 504612 591858 644568 789144 966852 1009224 1183716 1933704 2367432 3518267 7036534 10554801 14073068 21109602 28146136 31664403 42219204 63328806 84438408 126657612 253315224