Search a number
-
+
251063226 = 23819253
BaseRepresentation
bin11101111011011…
…10101110111010
3122111102100000000
432331232232322
51003233010401
640525053430
76136000521
oct1675565672
9574370000
10251063226
1111979a577
12700b7276
134002562b
14254b54b8
1517094186
hexef6ebba

251063226 has 108 divisors (see below), whose sum is σ = 607406202. Its totient is φ = 77787216.

The previous prime is 251063209. The next prime is 251063243. The reversal of 251063226 is 622360152.

251063226 is a `hidden beast` number, since 2 + 5 + 1 + 0 + 632 + 26 = 666.

It is an interprime number because it is at equal distance from previous prime (251063209) and next prime (251063243).

It can be written as a sum of positive squares in only one way, i.e., 191850201 + 59213025 = 13851^2 + 7695^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 251063226.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 4737016 + ... + 4737068.

Almost surely, 2251063226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 251063226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303703101).

251063226 is an abundant number, since it is smaller than the sum of its proper divisors (356342976).

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

251063226 is an frugal number, since it uses more digits than its factorization.

251063226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 251063226 is about 15844.9747869790. The cubic root of 251063226 is about 630.8523157849.

The spelling of 251063226 in words is "two hundred fifty-one million, sixty-three thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 18 19 27 38 53 54 57 81 106 114 159 162 171 243 318 342 361 477 486 513 722 729 954 1007 1026 1083 1431 1458 1539 2014 2166 2187 2862 3021 3078 3249 4293 4374 4617 6042 6498 6561 8586 9063 9234 9747 12879 13122 13851 18126 19133 19494 25758 27189 27702 29241 38266 38637 41553 54378 57399 58482 77274 81567 83106 87723 114798 115911 124659 163134 172197 175446 231822 244701 249318 263169 344394 347733 489402 516591 526338 695466 734103 789507 1033182 1468206 1549773 1579014 2202309 2368521 3099546 4404618 4649319 4737042 6606927 9298638 13213854 13947957 27895914 41843871 83687742 125531613 251063226