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2220420 = 2235231609
BaseRepresentation
bin1000011110000110000100
311011210211210
420132012010
51032023140
6115331420
724605346
oct10360604
94153753
102220420
111287264
128b0b70
135c9877
1441b296
152dcd80
hex21e184

2220420 has 48 divisors (see below), whose sum is σ = 6491520. Its totient is φ = 566016.

The previous prime is 2220419. The next prime is 2220431. The reversal of 2220420 is 240222.

It is a happy number.

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 = 2220396 and 2220405.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 576 + ... + 2184.

It is an arithmetic number, because the mean of its divisors is an integer number (135240).

22220420 is an apocalyptic number.

2220420 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 2220420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3245760).

2220420 is an abundant number, since it is smaller than the sum of its proper divisors (4271100).

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

2220420 is a wasteful number, since it uses less digits than its factorization.

2220420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1644 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 2220420 is about 1490.1073786811. The cubic root of 2220420 is about 130.4603011907.

Adding to 2220420 its reverse (240222), we get a palindrome (2460642).

The spelling of 2220420 in words is "two million, two hundred twenty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 1609 3218 4827 6436 8045 9654 16090 19308 24135 32180 37007 48270 74014 96540 111021 148028 185035 222042 370070 444084 555105 740140 1110210 2220420