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22275744 = 253474937
BaseRepresentation
bin101010011111…
…0011010100000
31112220201120120
41110332122200
521200310434
62113240240
7360224601
oct124763240
945821516
1022275744
1111635107
127563080
1347cc21a
142d5bda8
151e50349
hex153e6a0

22275744 has 48 divisors (see below), whose sum is σ = 59730048. Its totient is φ = 7265792.

The previous prime is 22275719. The next prime is 22275749. The reversal of 22275744 is 44757222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22275749) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2044 + ... + 6980.

It is an arithmetic number, because the mean of its divisors is an integer number (1244376).

Almost surely, 222275744 is an apocalyptic number.

22275744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22275744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29865024).

22275744 is an abundant number, since it is smaller than the sum of its proper divisors (37454304).

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

22275744 is a wasteful number, since it uses less digits than its factorization.

22275744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4997 (or 4989 counting only the distinct ones).

The product of its digits is 31360, while the sum is 33.

The square root of 22275744 is about 4719.7186356816. The cubic root of 22275744 is about 281.3697508817.

The spelling of 22275744 in words is "twenty-two million, two hundred seventy-five thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 752 1128 1504 2256 4512 4937 9874 14811 19748 29622 39496 59244 78992 118488 157984 232039 236976 464078 473952 696117 928156 1392234 1856312 2784468 3712624 5568936 7425248 11137872 22275744