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255220434 = 23274771607
BaseRepresentation
bin11110011011001…
…01101011010010
3122210020112121200
433031211223102
51010314023214
641154132030
76216223620
oct1715455322
9583215550
10255220434
11121079987
1271581016
1340b4c911
1425c78510
1517615d09
hexf365ad2

255220434 has 96 divisors (see below), whose sum is σ = 655589376. Its totient is φ = 70247520.

The previous prime is 255220423. The next prime is 255220447. The reversal of 255220434 is 434022552.

It is a happy number.

255220434 is a `hidden beast` number, since 2 + 5 + 5 + 220 + 434 = 666.

It is a super-2 number, since 2×2552204342 = 130274939862296712, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 255220398 and 255220407.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 420159 + ... + 420765.

It is an arithmetic number, because the mean of its divisors is an integer number (6829056).

Almost surely, 2255220434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255220434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327794688).

255220434 is an abundant number, since it is smaller than the sum of its proper divisors (400368942).

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

255220434 is a wasteful number, since it uses less digits than its factorization.

255220434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 255220434 is about 15975.6199879692. The cubic root of 255220434 is about 634.3152425903.

Adding to 255220434 its reverse (434022552), we get a palindrome (689242986).

The spelling of 255220434 in words is "two hundred fifty-five million, two hundred twenty thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 47 63 71 94 126 141 142 213 282 329 423 426 497 607 639 658 846 987 994 1214 1278 1491 1821 1974 2961 2982 3337 3642 4249 4473 5463 5922 6674 8498 8946 10011 10926 12747 20022 23359 25494 28529 30033 38241 43097 46718 57058 60066 70077 76482 85587 86194 129291 140154 171174 199703 210231 256761 258582 301679 387873 399406 420462 513522 599109 603358 775746 905037 1198218 1797327 1810074 2025559 2715111 3594654 4051118 5430222 6076677 12153354 14178913 18230031 28357826 36460062 42536739 85073478 127610217 255220434