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2220120 = 233257881
BaseRepresentation
bin1000011110000001011000
311011210102200
420132001120
51032020440
6115330200
724604440
oct10360130
94153380
102220120
111287011
128b0960
135c96a6
1441b120
152dcc30
hex21e058

2220120 has 96 divisors (see below), whose sum is σ = 8255520. Its totient is φ = 506880.

The previous prime is 2220089. The next prime is 2220151. The reversal of 2220120 is 210222.

It is an interprime number because it is at equal distance from previous prime (2220089) and next prime (2220151).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2080 + ... + 2960.

It is an arithmetic number, because the mean of its divisors is an integer number (85995).

22220120 is an apocalyptic number.

2220120 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 2220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4127760).

2220120 is an abundant number, since it is smaller than the sum of its proper divisors (6035400).

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

2220120 is a wasteful number, since it uses less digits than its factorization.

2220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2220120 is about 1490.0067113943. The cubic root of 2220120 is about 130.4544254475.

Adding to 2220120 its reverse (210222), we get a palindrome (2430342).

The spelling of 2220120 in words is "two million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 881 1260 1762 2520 2643 3524 4405 5286 6167 7048 7929 8810 10572 12334 13215 15858 17620 18501 21144 24668 26430 30835 31716 35240 37002 39645 49336 52860 55503 61670 63432 74004 79290 92505 105720 111006 123340 148008 158580 185010 222012 246680 277515 317160 370020 444024 555030 740040 1110060 2220120