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2042216 = 2311231009
BaseRepresentation
bin111110010100101101000
310211202101122
413302211220
51010322331
6111434412
723233661
oct7624550
93752348
102042216
111175390
12825a08
13566717
143b2368
152a517b
hex1f2968

2042216 has 32 divisors (see below), whose sum is σ = 4363200. Its totient is φ = 887040.

The previous prime is 2042213. The next prime is 2042221. The reversal of 2042216 is 6122402.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2042194 and 2042203.

It is not an unprimeable number, because it can be changed into a prime (2042213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1520 + ... + 2528.

It is an arithmetic number, because the mean of its divisors is an integer number (136350).

22042216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2042216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2181600).

2042216 is an abundant number, since it is smaller than the sum of its proper divisors (2320984).

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

2042216 is a wasteful number, since it uses less digits than its factorization.

2042216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2042216 is about 1429.0612303187. The cubic root of 2042216 is about 126.8724202926.

Adding to 2042216 its reverse (6122402), we get a palindrome (8164618).

The spelling of 2042216 in words is "two million, forty-two thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 184 253 506 1009 1012 2018 2024 4036 8072 11099 22198 23207 44396 46414 88792 92828 185656 255277 510554 1021108 2042216