Search a number
-
+
22059144 = 2332306377
BaseRepresentation
bin101010000100…
…1100010001000
31112111201110100
41110021202020
521121343034
62104445400
7355333242
oct124114210
945451410
1022059144
11114a73a8
127479860
134754763
142d03092
151e0b099
hex1509888

22059144 has 24 divisors (see below), whose sum is σ = 59743710. Its totient is φ = 7353024.

The previous prime is 22059131. The next prime is 22059151. The reversal of 22059144 is 44195022.

It can be written as a sum of positive squares in only one way, i.e., 21734244 + 324900 = 4662^2 + 570^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 153117 + ... + 153260.

Almost surely, 222059144 is an apocalyptic number.

22059144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22059144 is an abundant number, since it is smaller than the sum of its proper divisors (37684566).

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

22059144 is a wasteful number, since it uses less digits than its factorization.

22059144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306389 (or 306382 counting only the distinct ones).

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

The square root of 22059144 is about 4696.7162997141. The cubic root of 22059144 is about 280.4548050761.

The spelling of 22059144 in words is "twenty-two million, fifty-nine thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 306377 612754 919131 1225508 1838262 2451016 2757393 3676524 5514786 7353048 11029572 22059144