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2232020 = 2257107149
BaseRepresentation
bin1000100000111011010100
311012101202102
420200323110
51032411040
6115501232
724654230
oct10407324
94171672
102232020
111294a4a
128b7818
13601c2b
144215c0
152e1515
hex220ed4

2232020 has 48 divisors (see below), whose sum is σ = 5443200. Its totient is φ = 753024.

The previous prime is 2232017. The next prime is 2232023. The reversal of 2232020 is 202322.

It is an interprime number because it is at equal distance from previous prime (2232017) and next prime (2232023).

It is a super-3 number, since 3×22320203 = 33359190240355224000, which contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2231992 and 2232010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2232023) 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, 14906 + ... + 15054.

It is an arithmetic number, because the mean of its divisors is an integer number (113400).

22232020 is an apocalyptic number.

2232020 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 2232020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2721600).

2232020 is an abundant number, since it is smaller than the sum of its proper divisors (3211180).

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

2232020 is a wasteful number, since it uses less digits than its factorization.

2232020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 2232020 is about 1493.9946452381. The cubic root of 2232020 is about 130.6870918832.

Adding to 2232020 its reverse (202322), we get a palindrome (2434342).

The spelling of 2232020 in words is "two million, two hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 107 140 149 214 298 428 535 596 745 749 1043 1070 1490 1498 2086 2140 2980 2996 3745 4172 5215 7490 10430 14980 15943 20860 31886 63772 79715 111601 159430 223202 318860 446404 558005 1116010 2232020