Search a number
-
+
22671120 = 243594463
BaseRepresentation
bin101011001111…
…0111100010000
31120122210221010
41112132330100
521300433440
62125530520
7363462363
oct126367420
946583833
1022671120
111188516a
127713a40
13490a184
1430220da
151ecc580
hex159ef10

22671120 has 40 divisors (see below), whose sum is σ = 70281216. Its totient is φ = 6045568.

The previous prime is 22671119. The next prime is 22671139. The reversal of 22671120 is 2117622.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46992 + ... + 47471.

Almost surely, 222671120 is an apocalyptic number.

22671120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22671120 is an abundant number, since it is smaller than the sum of its proper divisors (47610096).

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

22671120 is a wasteful number, since it uses less digits than its factorization.

22671120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94479 (or 94473 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 22671120 is about 4761.4199562735. The cubic root of 22671120 is about 283.0246912076.

Adding to 22671120 its reverse (2117622), we get a palindrome (24788742).

It can be divided in two parts, 22671 and 120, that added together give a triangular number (22791 = T213).

The spelling of 22671120 in words is "twenty-two million, six hundred seventy-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 94463 188926 283389 377852 472315 566778 755704 944630 1133556 1416945 1511408 1889260 2267112 2833890 3778520 4534224 5667780 7557040 11335560 22671120