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2244000 = 253531117
BaseRepresentation
bin1000100011110110100000
311020000012010
420203312200
51033302000
6120032520
725034163
oct10436640
94200163
102244000
1112a2a50
12902740
13607515
14425ada
152e4d50
hex223da0

2244000 has 192 divisors, whose sum is σ = 8491392. Its totient is φ = 512000.

The previous prime is 2243987. The next prime is 2244091. The reversal of 2244000 is 4422.

It is a Harshad number since it is a multiple of its sum of digits (12).

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

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131992 + ... + 132008.

It is an arithmetic number, because the mean of its divisors is an integer number (44226).

22244000 is an apocalyptic number.

2244000 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 2244000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4245696).

2244000 is an abundant number, since it is smaller than the sum of its proper divisors (6247392).

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

2244000 is a wasteful number, since it uses less digits than its factorization.

2244000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 2244000 is about 1497.9986648859. The cubic root of 2244000 is about 130.9204886260.

Adding to 2244000 its reverse (4422), we get a palindrome (2248422).

It can be divided in two parts, 224 and 4000, that added together give a palindrome (4224).

The spelling of 2244000 in words is "two million, two hundred forty-four thousand".