Search a number
-
+
255622272 = 27343113137
BaseRepresentation
bin11110011110001…
…11110010000000
3122210222221211120
433033013302000
51010414403042
641210512240
76222516303
oct1717076200
9583887746
10255622272
11121323884
1271735680
1340c607a9
1425d40b3a
1517694dec
hexf3c7c80

255622272 has 128 divisors (see below), whose sum is σ = 706052160. Its totient is φ = 81887232.

The previous prime is 255622271. The next prime is 255622277. The reversal of 255622272 is 272226552.

255622272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (255622271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1865788 + ... + 1865924.

Almost surely, 2255622272 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 255622272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353026080).

255622272 is an abundant number, since it is smaller than the sum of its proper divisors (450429888).

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

255622272 is a wasteful number, since it uses less digits than its factorization.

255622272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 298 counting only the distinct ones).

The product of its digits is 33600, while the sum is 33.

The square root of 255622272 is about 15988.1916425842. The cubic root of 255622272 is about 634.6479723640.

The spelling of 255622272 in words is "two hundred fifty-five million, six hundred twenty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 113 128 129 137 172 192 226 258 274 339 344 384 411 452 516 548 678 688 822 904 1032 1096 1356 1376 1644 1808 2064 2192 2712 2752 3288 3616 4128 4384 4859 5424 5504 5891 6576 7232 8256 8768 9718 10848 11782 13152 14464 14577 15481 16512 17536 17673 19436 21696 23564 26304 29154 30962 35346 38872 43392 46443 47128 52608 58308 61924 70692 77744 92886 94256 116616 123848 141384 155488 185772 188512 233232 247696 282768 310976 371544 377024 466464 495392 565536 621952 665683 743088 754048 932928 990784 1131072 1331366 1486176 1865856 1981568 1997049 2262144 2662732 2972352 3994098 5325464 5944704 7988196 10650928 15976392 21301856 31952784 42603712 63905568 85207424 127811136 255622272