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255224664 = 233247199379
BaseRepresentation
bin11110011011001…
…10101101011000
3122210020202102100
433031212231120
51010314142124
641154203400
76216242142
oct1715465530
9583222370
10255224664
11121082082
1271583560
1340b51816
1425c79c92
15176171c9
hexf366b58

255224664 has 96 divisors (see below), whose sum is σ = 711360000. Its totient is φ = 82627776.

The previous prime is 255224653. The next prime is 255224681. The reversal of 255224664 is 466422552.

255224664 is a `hidden beast` number, since 2 + 552 + 2 + 46 + 64 = 666.

It is a super-2 number, since 2×2552246642 = 130279258227825792, which contains 22 as substring.

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, 673227 + ... + 673605.

It is an arithmetic number, because the mean of its divisors is an integer number (7410000).

Almost surely, 2255224664 is an apocalyptic number.

255224664 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 255224664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355680000).

255224664 is an abundant number, since it is smaller than the sum of its proper divisors (456135336).

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

255224664 is a wasteful number, since it uses less digits than its factorization.

255224664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 630 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 255224664 is about 15975.7523766488. The cubic root of 255224664 is about 634.3187469318.

The spelling of 255224664 in words is "two hundred fifty-five million, two hundred twenty-four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 188 199 282 376 379 398 423 564 597 758 796 846 1128 1137 1194 1516 1592 1692 1791 2274 2388 3032 3384 3411 3582 4548 4776 6822 7164 9096 9353 13644 14328 17813 18706 27288 28059 35626 37412 53439 56118 71252 74824 75421 84177 106878 112236 142504 150842 160317 168354 213756 224472 226263 301684 320634 336708 427512 452526 603368 641268 673416 678789 905052 1282536 1357578 1810104 2715156 3544787 5430312 7089574 10634361 14179148 21268722 28358296 31903083 42537444 63806166 85074888 127612332 255224664