Search a number
-
+
22401072 = 2432732131
BaseRepresentation
bin101010101110…
…1000000110000
31120011002111100
41111131000300
521213313242
62120044400
7361256151
oct125350060
946132440
1022401072
1111710291
127603700
134844295
142d91928
151e7754c
hex155d030

22401072 has 60 divisors (see below), whose sum is σ = 63580504. Its totient is φ = 7361280.

The previous prime is 22401037. The next prime is 22401077. The reversal of 22401072 is 27010422.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (22401077) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9447 + ... + 11577.

Almost surely, 222401072 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 22401072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31790252).

22401072 is an abundant number, since it is smaller than the sum of its proper divisors (41179432).

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

22401072 is a wasteful number, since it uses less digits than its factorization.

22401072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2218 (or 2209 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 22401072 is about 4732.9770757949. The cubic root of 22401072 is about 281.8964460586.

Adding to 22401072 its reverse (27010422), we get a palindrome (49411494).

The spelling of 22401072 in words is "twenty-two million, four hundred one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 144 146 219 292 438 584 657 876 1168 1314 1752 2131 2628 3504 4262 5256 6393 8524 10512 12786 17048 19179 25572 34096 38358 51144 76716 102288 153432 155563 306864 311126 466689 622252 933378 1244504 1400067 1866756 2489008 2800134 3733512 5600268 7467024 11200536 22401072