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2144952 = 2332313
BaseRepresentation
bin1000001011101010111000
311000222022200
420023222320
51022114302
6113550200
724142335
oct10135270
94028280
102144952
111235597
12875360
135a1404
143db98c
152c581c
hex20bab8

2144952 has 48 divisors (see below), whose sum is σ = 6002880. Its totient is φ = 691920.

The previous prime is 2144951. The next prime is 2144953. The reversal of 2144952 is 2594412.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (2144951) and next prime (2144953).

Its product of digits (2880) is a multiple of the sum of its prime divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144951) 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, 69177 + ... + 69207.

It is an arithmetic number, because the mean of its divisors is an integer number (125060).

22144952 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 2144952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3001440).

2144952 is an abundant number, since it is smaller than the sum of its proper divisors (3857928).

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

2144952 is an equidigital number, since it uses as much as digits as its factorization.

2144952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 36 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 2144952 is about 1464.5654645662. The cubic root of 2144952 is about 128.9651970292.

The spelling of 2144952 in words is "two million, one hundred forty-four thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 961 1116 1922 2232 2883 3844 5766 7688 8649 11532 17298 23064 29791 34596 59582 69192 89373 119164 178746 238328 268119 357492 536238 714984 1072476 2144952