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2212320 = 253511419
BaseRepresentation
bin1000011100000111100000
311011101201210
420130013200
51031243240
6115230120
724542625
oct10340740
94141653
102212320
111281170
128a8340
135c5c86
1441834c
152da780
hex21c1e0

2212320 has 96 divisors (see below), whose sum is σ = 7620480. Its totient is φ = 535040.

The previous prime is 2212297. The next prime is 2212321. The reversal of 2212320 is 232122.

2212320 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 2212296 and 2212305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5071 + ... + 5489.

It is an arithmetic number, because the mean of its divisors is an integer number (79380).

22212320 is an apocalyptic number.

2212320 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 2212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3810240).

2212320 is an abundant number, since it is smaller than the sum of its proper divisors (5408160).

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

2212320 is a wasteful number, since it uses less digits than its factorization.

2212320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2212320 is about 1487.3869704956. The cubic root of 2212320 is about 130.3014699760.

Adding to 2212320 its reverse (232122), we get a palindrome (2444442).

The spelling of 2212320 in words is "two million, two hundred twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 419 440 480 528 660 838 880 1056 1257 1320 1676 1760 2095 2514 2640 3352 4190 4609 5028 5280 6285 6704 8380 9218 10056 12570 13408 13827 16760 18436 20112 23045 25140 27654 33520 36872 40224 46090 50280 55308 67040 69135 73744 92180 100560 110616 138270 147488 184360 201120 221232 276540 368720 442464 553080 737440 1106160 2212320