Search a number
-
+
2200020 = 223537991
BaseRepresentation
bin1000011001000111010100
311010202212020
420121013110
51030400040
6115053140
724462024
oct10310724
94122766
102200020
1112729a9
128a11b0
135c04b4
14413a84
152d6cd0
hex2191d4

2200020 has 48 divisors (see below), whose sum is σ = 6332928. Its totient is φ = 570240.

The previous prime is 2200013. The next prime is 2200031. The reversal of 2200020 is 200022.

It is a Harshad number since it is a multiple of its sum of digits (6).

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

It is a junction number, because it is equal to n+sod(n) for n = 2199981 and 2200008.

It is a congruent number.

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, 1725 + ... + 2715.

It is an arithmetic number, because the mean of its divisors is an integer number (131936).

22200020 is an apocalyptic number.

2200020 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 2200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3166464).

2200020 is an abundant number, since it is smaller than the sum of its proper divisors (4132908).

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

2200020 is a wasteful number, since it uses less digits than its factorization.

2200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 6.

The square root of 2200020 is about 1483.2464394024. The cubic root of 2200020 is about 130.0595388026.

Adding to 2200020 its reverse (200022), we get a palindrome (2400042).

The spelling of 2200020 in words is "two million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 991 1110 1982 2220 2973 3964 4955 5946 9910 11892 14865 19820 29730 36667 59460 73334 110001 146668 183335 220002 366670 440004 550005 733340 1100010 2200020