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2150144 = 2837227
BaseRepresentation
bin1000001100111100000000
311001020102222
420030330000
51022301034
6114030212
724163433
oct10147400
94036388
102150144
111239487
12878368
135a3899
143dd81a
152c712e
hex20cf00

2150144 has 36 divisors (see below), whose sum is σ = 4427304. Its totient is φ = 1041408.

The previous prime is 2150131. The next prime is 2150149. The reversal of 2150144 is 4410512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2150149) 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 3 ways as a sum of consecutive naturals, for example, 9359 + ... + 9585.

22150144 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 2150144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2213652).

2150144 is an abundant number, since it is smaller than the sum of its proper divisors (2277160).

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

2150144 is an equidigital number, since it uses as much as digits as its factorization.

2150144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 2150144 is about 1466.3369326318. The cubic root of 2150144 is about 129.0691694830.

Adding to 2150144 its reverse (4410512), we get a palindrome (6560656).

The spelling of 2150144 in words is "two million, one hundred fifty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 227 256 296 454 592 908 1184 1816 2368 3632 4736 7264 8399 9472 14528 16798 29056 33596 58112 67192 134384 268768 537536 1075072 2150144