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2197888 = 27711223
BaseRepresentation
bin1000011000100110000000
311010122221021
420120212000
51030313023
6115035224
724452560
oct10304600
94118837
102197888
111271340
1289bb14
135bc534
14412da0
152d635d
hex218980

2197888 has 64 divisors (see below), whose sum is σ = 5483520. Its totient is φ = 852480.

The previous prime is 2197873. The next prime is 2197907. The reversal of 2197888 is 8887912.

It is a tau number, because it is divible by the number of its divisors (64).

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, 9745 + ... + 9967.

It is an arithmetic number, because the mean of its divisors is an integer number (85680).

22197888 is an apocalyptic number.

2197888 is a gapful number since it is divisible by the number (28) 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 2197888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2741760).

2197888 is an abundant number, since it is smaller than the sum of its proper divisors (3285632).

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

2197888 is a wasteful number, since it uses less digits than its factorization.

2197888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 243 counting only the distinct ones).

The product of its digits is 64512, while the sum is 43.

The square root of 2197888 is about 1482.5275714131. The cubic root of 2197888 is about 130.0175124337.

The spelling of 2197888 in words is "two million, one hundred ninety-seven thousand, eight hundred eighty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 223 224 308 352 446 448 616 704 892 896 1232 1408 1561 1784 2453 2464 3122 3568 4906 4928 6244 7136 9812 9856 12488 14272 17171 19624 24976 28544 34342 39248 49952 68684 78496 99904 137368 156992 199808 274736 313984 549472 1098944 2197888