Search a number
-
+
251225240 = 235731103281
BaseRepresentation
bin11101111100101…
…10010010011000
3122111201120020112
432332112102120
51003303201430
640532343452
76140244050
oct1676262230
9574646215
10251225240
111198a0272
1270174b88
13400812b6
1425518560
15170c7195
hexef96498

251225240 has 128 divisors (see below), whose sum is σ = 675717120. Its totient is φ = 82252800.

The previous prime is 251225197. The next prime is 251225243. The reversal of 251225240 is 42522152.

It is a super-2 number, since 2×2512252402 = 126228242426115200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251225243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 893900 + ... + 894180.

It is an arithmetic number, because the mean of its divisors is an integer number (5279040).

Almost surely, 2251225240 is an apocalyptic number.

251225240 is a gapful number since it is divisible by the number (20) 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 251225240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337858560).

251225240 is an abundant number, since it is smaller than the sum of its proper divisors (424491880).

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

251225240 is a wasteful number, since it uses less digits than its factorization.

251225240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 251225240 is about 15850.0864350956. The cubic root of 251225240 is about 630.9879853684.

Adding to 251225240 its reverse (42522152), we get a palindrome (293747392).

The spelling of 251225240 in words is "two hundred fifty-one million, two hundred twenty-five thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 103 124 140 155 206 217 248 280 281 310 412 434 515 562 620 721 824 868 1030 1085 1124 1240 1405 1442 1736 1967 2060 2170 2248 2810 2884 3193 3605 3934 4120 4340 5620 5768 6386 7210 7868 8680 8711 9835 11240 12772 14420 15736 15965 17422 19670 22351 25544 28840 28943 31930 34844 39340 43555 44702 57886 60977 63860 69688 78680 87110 89404 111755 115772 121954 127720 144715 174220 178808 202601 223510 231544 243908 289430 304885 348440 405202 447020 487816 578860 609770 810404 894040 897233 1013005 1157720 1219540 1620808 1794466 2026010 2439080 3588932 4052020 4486165 6280631 7177864 8104040 8972330 12561262 17944660 25122524 31403155 35889320 50245048 62806310 125612620 251225240