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31022820 = 223251947193
BaseRepresentation
bin111011001010…
…1111011100100
32011101010022100
41312111323210
530420212240
63024532100
7524455353
oct166257344
964333270
1031022820
11165699a4
12a481030
1365726ca
14419799a
152acbe30
hex1d95ee4

31022820 has 144 divisors (see below), whose sum is σ = 101687040. Its totient is φ = 7630848.

The previous prime is 31022767. The next prime is 31022833. The reversal of 31022820 is 2822013.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 31022793 and 31022802.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 160644 + ... + 160836.

It is an arithmetic number, because the mean of its divisors is an integer number (706160).

Almost surely, 231022820 is an apocalyptic number.

31022820 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 31022820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50843520).

31022820 is an abundant number, since it is smaller than the sum of its proper divisors (70664220).

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

31022820 is a wasteful number, since it uses less digits than its factorization.

31022820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 31022820 is about 5569.8132823282. The cubic root of 31022820 is about 314.2151283827.

Adding to 31022820 its reverse (2822013), we get a palindrome (33844833).

The spelling of 31022820 in words is "thirty-one million, twenty-two thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 47 57 60 76 90 94 95 114 141 171 180 188 190 193 228 235 282 285 342 380 386 423 470 564 570 579 684 705 772 846 855 893 940 965 1140 1158 1410 1692 1710 1737 1786 1930 2115 2316 2679 2820 2895 3420 3474 3572 3667 3860 4230 4465 5358 5790 6948 7334 8037 8460 8685 8930 9071 10716 11001 11580 13395 14668 16074 17370 17860 18142 18335 22002 26790 27213 32148 33003 34740 36284 36670 40185 44004 45355 53580 54426 55005 66006 73340 80370 81639 90710 108852 110010 132012 136065 160740 163278 165015 172349 181420 220020 272130 326556 330030 344698 408195 517047 544260 660060 689396 816390 861745 1034094 1551141 1632780 1723490 2068188 2585235 3102282 3446980 5170470 6204564 7755705 10340940 15511410 31022820