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2144448 = 26331773
BaseRepresentation
bin1000001011100011000000
311000221122000
420023203000
51022110243
6113544000
724141015
oct10134300
94027560
102144448
111235179
12875000
135a1107
143db70c
152c55d3
hex20b8c0

2144448 has 112 divisors (see below), whose sum is σ = 6766560. Its totient is φ = 663552.

The previous prime is 2144437. The next prime is 2144449. The reversal of 2144448 is 8444412.

It is a happy number.

2144448 is a `hidden beast` number, since 214 + 4 + 448 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 12.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (2144449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29340 + ... + 29412.

22144448 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 2144448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3383280).

2144448 is an abundant number, since it is smaller than the sum of its proper divisors (4622112).

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

2144448 is a wasteful number, since it uses less digits than its factorization.

2144448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 95 counting only the distinct ones).

The product of its digits is 4096, while the sum is 27.

The square root of 2144448 is about 1464.3933897693. The cubic root of 2144448 is about 128.9550952413.

The spelling of 2144448 in words is "two million, one hundred forty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 73 96 102 108 136 144 146 153 192 204 216 219 272 288 292 306 408 432 438 459 544 576 584 612 657 816 864 876 918 1088 1168 1224 1241 1314 1632 1728 1752 1836 1971 2336 2448 2482 2628 3264 3504 3672 3723 3942 4672 4896 4964 5256 7008 7344 7446 7884 9792 9928 10512 11169 14016 14688 14892 15768 19856 21024 22338 29376 29784 31536 33507 39712 42048 44676 59568 63072 67014 79424 89352 119136 126144 134028 178704 238272 268056 357408 536112 714816 1072224 2144448