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2023216 = 241371137
BaseRepresentation
bin111101101111100110000
310210210022221
413231330300
51004220331
6111210424
723124406
oct7557460
93723287
102023216
111162088
12816a14
1355ab90
143a9476
1529e711
hex1edf30

2023216 has 40 divisors (see below), whose sum is σ = 4312224. Its totient is φ = 913920.

The previous prime is 2023211. The next prime is 2023223. The reversal of 2023216 is 6123202.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a self number, because there is not a number n which added to its sum of digits gives 2023216.

It is not an unprimeable number, because it can be changed into a prime (2023211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14700 + ... + 14836.

22023216 is an apocalyptic number.

2023216 is a gapful number since it is divisible by the number (26) 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 2023216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2156112).

2023216 is an abundant number, since it is smaller than the sum of its proper divisors (2289008).

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

2023216 is a wasteful number, since it uses less digits than its factorization.

2023216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2023216 is about 1422.3979752517. The cubic root of 2023216 is about 126.4777361913.

Adding to 2023216 its reverse (6123202), we get a palindrome (8146418).

The spelling of 2023216 in words is "two million, twenty-three thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 16 26 52 71 104 137 142 208 274 284 548 568 923 1096 1136 1781 1846 2192 3562 3692 7124 7384 9727 14248 14768 19454 28496 38908 77816 126451 155632 252902 505804 1011608 2023216