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31225040 = 24571137137
BaseRepresentation
bin111011100011…
…1010011010000
32011202101200222
41313013103100
530443200130
63033132212
7526260050
oct167072320
964671628
1031225040
1116697920
12a55a068
136613772
14420b560
152b1bce5
hex1dc74d0

31225040 has 160 divisors (see below), whose sum is σ = 93636864. Its totient is φ = 9400320.

The previous prime is 31225031. The next prime is 31225049. The reversal of 31225040 is 4052213.

It is an interprime number because it is at equal distance from previous prime (31225031) and next prime (31225049).

It is a super-3 number, since 3×312250403 (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31225049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227852 + ... + 227988.

Almost surely, 231225040 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 31225040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46818432).

31225040 is an abundant number, since it is smaller than the sum of its proper divisors (62411824).

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

31225040 is a wasteful number, since it uses less digits than its factorization.

31225040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 31225040 is about 5587.9370075190. The cubic root of 31225040 is about 314.8963797917.

Adding to 31225040 its reverse (4052213), we get a palindrome (35277253).

It can be divided in two parts, 312 and 25040, that added together give a palindrome (25352).

The spelling of 31225040 in words is "thirty-one million, two hundred twenty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 37 40 44 55 56 70 74 77 80 88 110 112 137 140 148 154 176 185 220 259 274 280 296 308 370 385 407 440 518 548 560 592 616 685 740 770 814 880 959 1036 1096 1232 1295 1370 1480 1507 1540 1628 1918 2035 2072 2192 2590 2740 2849 2960 3014 3080 3256 3836 4070 4144 4795 5069 5180 5480 5698 6028 6160 6512 7535 7672 8140 9590 10138 10360 10549 10960 11396 12056 14245 15070 15344 16280 19180 20276 20720 21098 22792 24112 25345 28490 30140 32560 35483 38360 40552 42196 45584 50690 52745 55759 56980 60280 70966 76720 81104 84392 101380 105490 111518 113960 120560 141932 168784 177415 202760 210980 223036 227920 278795 283864 354830 390313 405520 421960 446072 557590 567728 709660 780626 843920 892144 1115180 1419320 1561252 1951565 2230360 2838640 3122504 3903130 4460720 6245008 7806260 15612520 31225040