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2220864 = 26343269
BaseRepresentation
bin1000011110001101000000
311011211110020
420132031000
51032031424
6115333440
724606552
oct10361500
94154406
102220864
111287628
128b1280
135c9b29
1441b4d2
152dd079
hex21e340

2220864 has 56 divisors (see below), whose sum is σ = 6035040. Its totient is φ = 720384.

The previous prime is 2220839. The next prime is 2220887. The reversal of 2220864 is 4680222.

2220864 is digitally balanced in base 5, 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 (24).

It is a d-powerful number, because it can be written as 28 + 214 + 219 + 0 + 82 + 68 + 44 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8122 + ... + 8390.

22220864 is an apocalyptic number.

2220864 is a gapful number since it is divisible by the number (24) 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 2220864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3017520).

2220864 is an abundant number, since it is smaller than the sum of its proper divisors (3814176).

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

2220864 is a wasteful number, since it uses less digits than its factorization.

2220864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2220864 is about 1490.2563537862. The cubic root of 2220864 is about 130.4689963195.

The spelling of 2220864 in words is "two million, two hundred twenty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 129 172 192 258 269 344 516 538 688 807 1032 1076 1376 1614 2064 2152 2752 3228 4128 4304 6456 8256 8608 11567 12912 17216 23134 25824 34701 46268 51648 69402 92536 138804 185072 277608 370144 555216 740288 1110432 2220864