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33250140 = 223257112399
BaseRepresentation
bin111111011010…
…1101101011100
32022120021121200
41332311231130
532003001030
63144355500
7552423120
oct176655534
968507550
1033250140
1117850360
12b175b90
136b72451
1445b7580
152dbbd60
hex1fb5b5c

33250140 has 144 divisors (see below), whose sum is σ = 125798400. Its totient is φ = 6906240.

The previous prime is 33250127. The next prime is 33250141. The reversal of 33250140 is 4105233.

It is a super-2 number, since 2×332501402 = 2211143620039200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33250141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12661 + ... + 15059.

It is an arithmetic number, because the mean of its divisors is an integer number (873600).

Almost surely, 233250140 is an apocalyptic number.

33250140 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 33250140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62899200).

33250140 is an abundant number, since it is smaller than the sum of its proper divisors (92548260).

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

33250140 is a wasteful number, since it uses less digits than its factorization.

33250140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2432 (or 2427 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 33250140 is about 5766.2934368622. The cubic root of 33250140 is about 321.5618308826.

Adding to 33250140 its reverse (4105233), we get a palindrome (37355373).

The spelling of 33250140 in words is "thirty-three million, two hundred fifty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 28 30 33 35 36 42 44 45 55 60 63 66 70 77 84 90 99 105 110 126 132 140 154 165 180 198 210 220 231 252 308 315 330 385 396 420 462 495 630 660 693 770 924 990 1155 1260 1386 1540 1980 2310 2399 2772 3465 4620 4798 6930 7197 9596 11995 13860 14394 16793 21591 23990 26389 28788 33586 35985 43182 47980 50379 52778 67172 71970 79167 83965 86364 100758 105556 107955 131945 143940 151137 158334 167930 184723 201516 215910 237501 251895 263890 302274 316668 335860 369446 395835 431820 475002 503790 527780 554169 604548 738892 755685 791670 923615 950004 1007580 1108338 1187505 1511370 1583340 1662507 1847230 2216676 2375010 2770845 3022740 3325014 3694460 4750020 5541690 6650028 8312535 11083380 16625070 33250140