Search a number
-
+
22478472 = 233531373
BaseRepresentation
bin101010110111…
…1111010001000
31120022000200000
41111233322020
521223302342
62121443000
7362030622
oct125577210
946260600
1022478472
1111763455
127640460
134870593
142db1c12
151e9044c
hex156fe88

22478472 has 96 divisors (see below), whose sum is σ = 65345280. Its totient is φ = 7231680.

The previous prime is 22478461. The next prime is 22478473. The reversal of 22478472 is 27487422.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (22478473) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60078 + ... + 60450.

It is an arithmetic number, because the mean of its divisors is an integer number (680680).

Almost surely, 222478472 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 22478472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32672640).

22478472 is an abundant number, since it is smaller than the sum of its proper divisors (42866808).

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

22478472 is a wasteful number, since it uses less digits than its factorization.

22478472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 409 counting only the distinct ones).

The product of its digits is 50176, while the sum is 36.

The square root of 22478472 is about 4741.1466967391. The cubic root of 22478472 is about 282.2207416056.

The spelling of 22478472 in words is "twenty-two million, four hundred seventy-eight thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 81 93 108 124 162 186 216 243 248 279 324 372 373 486 558 648 744 746 837 972 1116 1119 1492 1674 1944 2232 2238 2511 2984 3348 3357 4476 5022 6696 6714 7533 8952 10044 10071 11563 13428 15066 20088 20142 23126 26856 30132 30213 34689 40284 46252 60264 60426 69378 80568 90639 92504 104067 120852 138756 181278 208134 241704 277512 312201 362556 416268 624402 725112 832536 936603 1248804 1873206 2497608 2809809 3746412 5619618 7492824 11239236 22478472