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2220888 = 233374161
BaseRepresentation
bin1000011110001101011000
311011211111010
420132031120
51032032023
6115333520
724606615
oct10361530
94154433
102220888
11128764a
128b12a0
135c9b47
1441b50c
152dd093
hex21e358

2220888 has 64 divisors (see below), whose sum is σ = 5937120. Its totient is φ = 691200.

The previous prime is 2220887. The next prime is 2220893. The reversal of 2220888 is 8880222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220887) 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, 36378 + ... + 36438.

22220888 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 2220888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2968560).

2220888 is an abundant number, since it is smaller than the sum of its proper divisors (3716232).

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

2220888 is a wasteful number, since it uses less digits than its factorization.

2220888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 2220888 is about 1490.2644060703. The cubic root of 2220888 is about 130.4694662934.

It can be divided in two parts, 22 and 20888, that added together give a triangular number (20910 = T204).

The spelling of 2220888 in words is "two million, two hundred twenty thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 24 37 41 61 74 82 111 122 123 148 164 183 222 244 246 296 328 366 444 488 492 732 888 984 1464 1517 2257 2501 3034 4514 4551 5002 6068 6771 7503 9028 9102 10004 12136 13542 15006 18056 18204 20008 27084 30012 36408 54168 60024 92537 185074 277611 370148 555222 740296 1110444 2220888