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31224420 = 22335531091
BaseRepresentation
bin111011100011…
…1001001100100
32011202100212000
41313013021210
530443140140
63033125300
7526255203
oct167071144
964670760
1031224420
1116697407
12a559830
1366133b6
14420b23a
152b1ba30
hex1dc7264

31224420 has 96 divisors (see below), whose sum is σ = 99066240. Its totient is φ = 8161920.

The previous prime is 31224383. The next prime is 31224433. The reversal of 31224420 is 2442213.

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 = 31224393 and 31224402.

It is a congruent number.

It is an unprimeable number.

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, 28075 + ... + 29165.

It is an arithmetic number, because the mean of its divisors is an integer number (1031940).

Almost surely, 231224420 is an apocalyptic number.

31224420 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 31224420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49533120).

31224420 is an abundant number, since it is smaller than the sum of its proper divisors (67841820).

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

31224420 is a wasteful number, since it uses less digits than its factorization.

31224420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 31224420 is about 5587.8815305982. The cubic root of 31224420 is about 314.8942955986.

Adding to 31224420 its reverse (2442213), we get a palindrome (33666633).

The spelling of 31224420 in words is "thirty-one million, two hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 53 54 60 90 106 108 135 159 180 212 265 270 318 477 530 540 636 795 954 1060 1091 1431 1590 1908 2182 2385 2862 3180 3273 4364 4770 5455 5724 6546 7155 9540 9819 10910 13092 14310 16365 19638 21820 28620 29457 32730 39276 49095 57823 58914 65460 98190 115646 117828 147285 173469 196380 231292 289115 294570 346938 520407 578230 589140 693876 867345 1040814 1156460 1561221 1734690 2081628 2602035 3122442 3469380 5204070 6244884 7806105 10408140 15612210 31224420