Search a number
-
+
22142464 = 2959733
BaseRepresentation
bin101010001110…
…1111000000000
31112122221202021
41110131320000
521132024324
62110331224
7356131201
oct124357000
945587667
1022142464
1111553a63
1274b9b14
134783666
142d255a8
151e25ae4
hex151de00

22142464 has 40 divisors (see below), whose sum is σ = 45052920. Its totient is φ = 10868736.

The previous prime is 22142459. The next prime is 22142507. The reversal of 22142464 is 46424122.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29842 + ... + 30574.

It is an arithmetic number, because the mean of its divisors is an integer number (1126323).

Almost surely, 222142464 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 22142464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22526460).

22142464 is an abundant number, since it is smaller than the sum of its proper divisors (22910456).

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

22142464 is an frugal number, since it uses more digits than its factorization.

22142464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 794 counting only the distinct ones).

The product of its digits is 3072, while the sum is 25.

The square root of 22142464 is about 4705.5779666264. The cubic root of 22142464 is about 280.8074651089.

Adding to 22142464 its reverse (46424122), we get a palindrome (68566586).

The spelling of 22142464 in words is "twenty-two million, one hundred forty-two thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 59 64 118 128 236 256 472 512 733 944 1466 1888 2932 3776 5864 7552 11728 15104 23456 30208 43247 46912 86494 93824 172988 187648 345976 375296 691952 1383904 2767808 5535616 11071232 22142464