Search a number
-
+
22649680 = 245283121
BaseRepresentation
bin101011001100…
…1101101010000
31120121201112001
41112121231100
521244242210
62125243344
7363343024
oct126315520
946551461
1022649680
1111870049
127703554
1349004a1
143018384
151ec603a
hex1599b50

22649680 has 20 divisors (see below), whose sum is σ = 52660692. Its totient is φ = 9059840.

The previous prime is 22649663. The next prime is 22649689. The reversal of 22649680 is 8694622.

It can be written as a sum of positive squares in 2 ways, for example, as 5143824 + 17505856 = 2268^2 + 4184^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22649689) 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, 141481 + ... + 141640.

Almost surely, 222649680 is an apocalyptic number.

22649680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22649680 is an abundant number, since it is smaller than the sum of its proper divisors (30011012).

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

22649680 is a wasteful number, since it uses less digits than its factorization.

22649680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283134 (or 283128 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 22649680 is about 4759.1679945133. The cubic root of 22649680 is about 282.9354445768.

It can be divided in two parts, 226496 and 80, that added together give a square (226576 = 4762).

The spelling of 22649680 in words is "twenty-two million, six hundred forty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 283121 566242 1132484 1415605 2264968 2831210 4529936 5662420 11324840 22649680