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2219420 = 225783191
BaseRepresentation
bin1000011101110110011100
311011202110202
420131312130
51032010140
6115323032
724602420
oct10356634
94152422
102219420
111286535
128b0478
135c9288
1441ab80
152dc915
hex21dd9c

2219420 has 48 divisors (see below), whose sum is σ = 5419008. Its totient is φ = 747840.

The previous prime is 2219411. The next prime is 2219423. The reversal of 2219420 is 249122.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2219392 and 2219401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2219423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11525 + ... + 11715.

It is an arithmetic number, because the mean of its divisors is an integer number (112896).

22219420 is an apocalyptic number.

2219420 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 2219420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2709504).

2219420 is an abundant number, since it is smaller than the sum of its proper divisors (3199588).

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

2219420 is a wasteful number, since it uses less digits than its factorization.

2219420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 2219420 is about 1489.7717946048. The cubic root of 2219420 is about 130.4407133213.

It can be divided in two parts, 221 and 9420, that multiplied together give a triangular number (2081820 = T2040).

The spelling of 2219420 in words is "two million, two hundred nineteen thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 83 140 166 191 332 382 415 581 764 830 955 1162 1337 1660 1910 2324 2674 2905 3820 5348 5810 6685 11620 13370 15853 26740 31706 63412 79265 110971 158530 221942 317060 443884 554855 1109710 2219420