Search a number
-
+
22888960 = 2958941
BaseRepresentation
bin101011101010…
…0001000000000
31121001212202021
41113110020000
521324421320
62134331224
7365360443
oct127241000
947055667
1022888960
1111a138a6
1277b9b14
134985383
14307b65a
152021daa
hex15d4200

22888960 has 40 divisors (see below), whose sum is σ = 54885996. Its totient is φ = 9154560.

The previous prime is 22888937. The next prime is 22888963. The reversal of 22888960 is 6988822.

It can be written as a sum of positive squares in 2 ways, for example, as 22886656 + 2304 = 4784^2 + 48^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (22888963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1911 + ... + 7030.

Almost surely, 222888960 is an apocalyptic number.

22888960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22888960 is an abundant number, since it is smaller than the sum of its proper divisors (31997036).

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

22888960 is an frugal number, since it uses more digits than its factorization.

22888960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8964 (or 8948 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 43.

The square root of 22888960 is about 4784.2407966155. The cubic root of 22888960 is about 283.9283030016.

The spelling of 22888960 in words is "twenty-two million, eight hundred eighty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 8941 17882 35764 44705 71528 89410 143056 178820 286112 357640 572224 715280 1144448 1430560 2288896 2861120 4577792 5722240 11444480 22888960