Search a number
-
+
22240608 = 2531371251
BaseRepresentation
bin101010011010…
…1110101100000
31112211221101020
41110311311200
521143144413
62112405440
7360020265
oct124656540
945757336
1022240608
1111610775
127546880
1347b9230
142d4d26c
151e44c23
hex1535d60

22240608 has 96 divisors (see below), whose sum is σ = 64012032. Its totient is φ = 6720000.

The previous prime is 22240601. The next prime is 22240637. The reversal of 22240608 is 80604222.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22240601) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88483 + ... + 88733.

It is an arithmetic number, because the mean of its divisors is an integer number (666792).

Almost surely, 222240608 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 22240608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32006016).

22240608 is an abundant number, since it is smaller than the sum of its proper divisors (41771424).

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

22240608 is a wasteful number, since it uses less digits than its factorization.

22240608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 22240608 is about 4715.9949109387. The cubic root of 22240608 is about 281.2217362215.

The spelling of 22240608 in words is "twenty-two million, two hundred forty thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 71 78 96 104 142 156 208 213 251 284 312 416 426 502 568 624 753 852 923 1004 1136 1248 1506 1704 1846 2008 2272 2769 3012 3263 3408 3692 4016 5538 6024 6526 6816 7384 8032 9789 11076 12048 13052 14768 17821 19578 22152 24096 26104 29536 35642 39156 44304 52208 53463 71284 78312 88608 104416 106926 142568 156624 213852 231673 285136 313248 427704 463346 570272 695019 855408 926692 1390038 1710816 1853384 2780076 3706768 5560152 7413536 11120304 22240608