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2144088 = 233297307
BaseRepresentation
bin1000001011011101011000
311000221010200
420023131120
51022102323
6113542200
724136662
oct10133530
94027120
102144088
111234981
12874960
135a0bbb
143db532
152c5443
hex20b758

2144088 has 48 divisors (see below), whose sum is σ = 5885880. Its totient is φ = 705024.

The previous prime is 2144081. The next prime is 2144117. The reversal of 2144088 is 8804412.

It is a super-2 number, since 2×21440882 = 9194226703488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6831 + ... + 7137.

22144088 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 2144088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2942940).

2144088 is an abundant number, since it is smaller than the sum of its proper divisors (3741792).

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

2144088 is a wasteful number, since it uses less digits than its factorization.

2144088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 2144088 is about 1464.2704668196. The cubic root of 2144088 is about 128.9478787093.

It can be divided in two parts, 21440 and 88, that added together give a triangular number (21528 = T207).

The spelling of 2144088 in words is "two million, one hundred forty-four thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 97 194 291 307 388 582 614 776 873 921 1164 1228 1746 1842 2328 2456 2763 3492 3684 5526 6984 7368 11052 22104 29779 59558 89337 119116 178674 238232 268011 357348 536022 714696 1072044 2144088