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31223040 = 283547173
BaseRepresentation
bin111011100011…
…0110100000000
32011202021221220
41313012310000
530443114130
63033115040
7526251162
oct167066400
964667856
1031223040
1116696372
12a558a80
136612894
14420a932
152b1b410
hex1dc6d00

31223040 has 144 divisors (see below), whose sum is σ = 102428928. Its totient is φ = 8101888.

The previous prime is 31223021. The next prime is 31223041. The reversal of 31223040 is 4032213.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31223041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180394 + ... + 180566.

It is an arithmetic number, because the mean of its divisors is an integer number (711312).

Almost surely, 231223040 is an apocalyptic number.

31223040 is a gapful number since it is divisible by the number (30) 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 31223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51214464).

31223040 is an abundant number, since it is smaller than the sum of its proper divisors (71205888).

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

31223040 is a wasteful number, since it uses less digits than its factorization.

31223040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 31223040 is about 5587.7580477326. The cubic root of 31223040 is about 314.8896564888.

Adding to 31223040 its reverse (4032213), we get a palindrome (35255253).

The spelling of 31223040 in words is "thirty-one million, two hundred twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 47 48 60 64 80 94 96 120 128 141 160 173 188 192 235 240 256 282 320 346 376 384 470 480 519 564 640 692 705 752 768 865 940 960 1038 1128 1280 1384 1410 1504 1730 1880 1920 2076 2256 2595 2768 2820 3008 3460 3760 3840 4152 4512 5190 5536 5640 6016 6920 7520 8131 8304 9024 10380 11072 11280 12032 13840 15040 16262 16608 18048 20760 22144 22560 24393 27680 30080 32524 33216 36096 40655 41520 44288 45120 48786 55360 60160 65048 66432 81310 83040 90240 97572 110720 121965 130096 132864 162620 166080 180480 195144 221440 243930 260192 325240 332160 390288 487860 520384 650480 664320 780576 975720 1040768 1300960 1561152 1951440 2081536 2601920 3122304 3902880 5203840 6244608 7805760 10407680 15611520 31223040