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22215144 = 2337132233
BaseRepresentation
bin101010010111…
…1100111101000
31112210122110010
41110233213220
521141341034
62112051520
7356553120
oct124574750
945718403
1022215144
11115a3626
127533ba0
1347aa773
142d43c80
151e3c3e9
hex152f9e8

22215144 has 32 divisors (see below), whose sum is σ = 63472320. Its totient is φ = 6347136.

The previous prime is 22215101. The next prime is 22215157. The reversal of 22215144 is 44151222.

It is a super-3 number, since 3×222151443 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 22215144.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65949 + ... + 66284.

It is an arithmetic number, because the mean of its divisors is an integer number (1983510).

Almost surely, 222215144 is an apocalyptic number.

22215144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22215144 is an abundant number, since it is smaller than the sum of its proper divisors (41257176).

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

22215144 is a wasteful number, since it uses less digits than its factorization.

22215144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132249 (or 132245 counting only the distinct ones).

The product of its digits is 640, while the sum is 21.

The square root of 22215144 is about 4713.2943892781. The cubic root of 22215144 is about 281.1143685782.

Adding to 22215144 its reverse (44151222), we get a palindrome (66366366).

The spelling of 22215144 in words is "twenty-two million, two hundred fifteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 132233 264466 396699 528932 793398 925631 1057864 1586796 1851262 2776893 3173592 3702524 5553786 7405048 11107572 22215144