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2033220 = 2235747103
BaseRepresentation
bin111110000011001000100
310211022001110
413300121010
51010030340
6111325020
723165520
oct7603104
93738043
102033220
111169652
12820770
135625b7
143acd80
152a2680
hex1f0644

2033220 has 96 divisors (see below), whose sum is σ = 6709248. Its totient is φ = 450432.

The previous prime is 2033203. The next prime is 2033221. The reversal of 2033220 is 223302.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2033196 and 2033205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2033221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19689 + ... + 19791.

It is an arithmetic number, because the mean of its divisors is an integer number (69888).

22033220 is an apocalyptic number.

2033220 is a gapful number since it is divisible by the number (20) 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 2033220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3354624).

2033220 is an abundant number, since it is smaller than the sum of its proper divisors (4676028).

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

2033220 is a wasteful number, since it uses less digits than its factorization.

2033220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 2033220 is about 1425.9102356039. The cubic root of 2033220 is about 126.6858542801.

Adding to 2033220 its reverse (223302), we get a palindrome (2256522).

The spelling of 2033220 in words is "two million, thirty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 47 60 70 84 94 103 105 140 141 188 206 210 235 282 309 329 412 420 470 515 564 618 658 705 721 940 987 1030 1236 1316 1410 1442 1545 1645 1974 2060 2163 2820 2884 3090 3290 3605 3948 4326 4841 4935 6180 6580 7210 8652 9682 9870 10815 14420 14523 19364 19740 21630 24205 29046 33887 43260 48410 58092 67774 72615 96820 101661 135548 145230 169435 203322 290460 338870 406644 508305 677740 1016610 2033220