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2223936 = 26351113
BaseRepresentation
bin1000011110111101000000
311011222200000
420132331000
51032131221
6115400000
724621531
oct10367500
94158600
102223936
111289970
128b3000
135cb350
1441c688
152dde26
hex21ef40

2223936 has 168 divisors, whose sum is σ = 7766304. Its totient is φ = 622080.

The previous prime is 2223911. The next prime is 2223937. The reversal of 2223936 is 6393222.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2223937) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171066 + ... + 171078.

It is an arithmetic number, because the mean of its divisors is an integer number (46228).

22223936 is an apocalyptic number.

2223936 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 2223936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3883152).

2223936 is an abundant number, since it is smaller than the sum of its proper divisors (5542368).

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

2223936 is a wasteful number, since it uses less digits than its factorization.

2223936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 29 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 2223936 is about 1491.2866927590. The cubic root of 2223936 is about 130.5291254849.

The spelling of 2223936 in words is "two million, two hundred twenty-three thousand, nine hundred thirty-six".