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2213244 = 22371123
BaseRepresentation
bin1000011100010101111100
311011110000000
420130111330
51031310434
6115234300
724545415
oct10342574
94143000
102213244
111281930
128a8990
135c6517
1441880c
152dab99
hex21c57c

2213244 has 96 divisors (see below), whose sum is σ = 6612480. Its totient is φ = 641520.

The previous prime is 2213243. The next prime is 2213279. The reversal of 2213244 is 4423122.

2213244 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2213243) 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 31 ways as a sum of consecutive naturals, for example, 96217 + ... + 96239.

It is an arithmetic number, because the mean of its divisors is an integer number (68880).

22213244 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 2213244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3306240).

2213244 is an abundant number, since it is smaller than the sum of its proper divisors (4399236).

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

2213244 is a wasteful number, since it uses less digits than its factorization.

2213244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 39 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 2213244 is about 1487.6975499072. The cubic root of 2213244 is about 130.3196080694.

Adding to 2213244 its reverse (4423122), we get a palindrome (6636366).

The spelling of 2213244 in words is "two million, two hundred thirteen thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 27 33 36 44 46 54 66 69 81 92 99 108 132 138 162 198 207 243 253 276 297 324 396 414 486 506 594 621 729 759 828 891 972 1012 1188 1242 1458 1518 1782 1863 2187 2277 2484 2673 2916 3036 3564 3726 4374 4554 5346 5589 6831 7452 8019 8748 9108 10692 11178 13662 16038 16767 20493 22356 24057 27324 32076 33534 40986 48114 50301 61479 67068 81972 96228 100602 122958 184437 201204 245916 368874 553311 737748 1106622 2213244