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2075220 = 22355761
BaseRepresentation
bin111111010101001010100
310220102200000
413322221110
51012401340
6112251300
723432130
oct7725124
93812600
102075220
111198164
12840b30
13578754
143c03c0
152aed30
hex1faa54

2075220 has 144 divisors (see below), whose sum is σ = 7582848. Its totient is φ = 466560.

The previous prime is 2075209. The next prime is 2075231. The reversal of 2075220 is 225702.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2075209) and next prime (2075231).

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 = 2075193 and 2075202.

It is a congruent number.

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, 33990 + ... + 34050.

22075220 is an apocalyptic number.

2075220 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 2075220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3791424).

2075220 is an abundant number, since it is smaller than the sum of its proper divisors (5507628).

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

2075220 is a wasteful number, since it uses less digits than its factorization.

2075220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 2075220 is about 1440.5623901796. The cubic root of 2075220 is about 127.5522277380.

The spelling of 2075220 in words is "two million, seventy-five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 61 63 70 81 84 90 105 108 122 126 135 140 162 180 183 189 210 243 244 252 270 305 315 324 366 378 405 420 427 486 540 549 567 610 630 732 756 810 854 915 945 972 1098 1134 1215 1220 1260 1281 1620 1647 1701 1708 1830 1890 2135 2196 2268 2430 2562 2745 2835 3294 3402 3660 3780 3843 4270 4860 4941 5124 5490 5670 6405 6588 6804 7686 8235 8505 8540 9882 10980 11340 11529 12810 14823 15372 16470 17010 19215 19764 23058 24705 25620 29646 32940 34020 34587 38430 46116 49410 57645 59292 69174 74115 76860 98820 103761 115290 138348 148230 172935 207522 230580 296460 345870 415044 518805 691740 1037610 2075220